Finding the Fourth Proportional to 7,854.17, 10,830.71 and 5,200.61

Step by Step Solution

1. Step 1: Write the proportion equation
   7,854.17 : 10,830.71 = 5,200.61 : x
2. Step 2: Convert to fraction form
   7,854.17/10,830.71 = 5,200.61/x
3. Step 3: Cross multiply
   7,854.17x = 10,830.71 × 5,200.61
4. Step 4: Simplify right side
   7,854.17x = 56,326,257.58
5. Step 5: Solve for x
   x = 56,326,257.58/7,854.17
6. Step 6: Final answer
   x = 7,171.51