Finding the Fourth Proportional to 1,413.42, 2,118.87 and 547.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.42 : 2,118.87 = 547.53 : x
2. Step 2: Convert to fraction form
   1,413.42/2,118.87 = 547.53/x
3. Step 3: Cross multiply
   1,413.42x = 2,118.87 × 547.53
4. Step 4: Simplify right side
   1,413.42x = 1,160,144.89
5. Step 5: Solve for x
   x = 1,160,144.89/1,413.42
6. Step 6: Final answer
   x = 820.81