Finding the Fourth Proportional to 1,546.29, 2,319.78 and 766.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,546.29 : 2,319.78 = 766.72 : x
2. Step 2: Convert to fraction form
   1,546.29/2,319.78 = 766.72/x
3. Step 3: Cross multiply
   1,546.29x = 2,319.78 × 766.72
4. Step 4: Simplify right side
   1,546.29x = 1,778,627.50
5. Step 5: Solve for x
   x = 1,778,627.50/1,546.29
6. Step 6: Final answer
   x = 1,150.25