Finding the Fourth Proportional to 10,414.47, 14,368.72 and 6,166.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,414.47 : 14,368.72 = 6,166.02 : x
2. Step 2: Convert to fraction form
   10,414.47/14,368.72 = 6,166.02/x
3. Step 3: Cross multiply
   10,414.47x = 14,368.72 × 6,166.02
4. Step 4: Simplify right side
   10,414.47x = 88,597,814.89
5. Step 5: Solve for x
   x = 88,597,814.89/10,414.47
6. Step 6: Final answer
   x = 8,507.18