Finding the Fourth Proportional to 9,414.56, 12,992.22 and 5,166.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,414.56 : 12,992.22 = 5,166.02 : x
2. Step 2: Convert to fraction form
   9,414.56/12,992.22 = 5,166.02/x
3. Step 3: Cross multiply
   9,414.56x = 12,992.22 × 5,166.02
4. Step 4: Simplify right side
   9,414.56x = 67,118,068.36
5. Step 5: Solve for x
   x = 67,118,068.36/9,414.56
6. Step 6: Final answer
   x = 7,129.18