Finding the Fourth Proportional to 429,109.76, 591,759.56 and 257,000.16

Step by Step Solution

1. Step 1: Write the proportion equation
   429,109.76 : 591,759.56 = 257,000.16 : x
2. Step 2: Convert to fraction form
   429,109.76/591,759.56 = 257,000.16/x
3. Step 3: Cross multiply
   429,109.76x = 591,759.56 × 257,000.16
4. Step 4: Simplify right side
   429,109.76x = 152,082,301,601.53
5. Step 5: Solve for x
   x = 152,082,301,601.53/429,109.76
6. Step 6: Final answer
   x = 354,413.52