Finding the Fourth Proportional to 9,414.91, 12,992.71 and 5,166.39

Step by Step Solution

1. Step 1: Write the proportion equation
   9,414.91 : 12,992.71 = 5,166.39 : x
2. Step 2: Convert to fraction form
   9,414.91/12,992.71 = 5,166.39/x
3. Step 3: Cross multiply
   9,414.91x = 12,992.71 × 5,166.39
4. Step 4: Simplify right side
   9,414.91x = 67,125,407.02
5. Step 5: Solve for x
   x = 67,125,407.02/9,414.91
6. Step 6: Final answer
   x = 7,129.70