Finding the Fourth Proportional to 9,358.34, 12,914.42 and 5,166.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,358.34 : 12,914.42 = 5,166.50 : x
2. Step 2: Convert to fraction form
   9,358.34/12,914.42 = 5,166.50/x
3. Step 3: Cross multiply
   9,358.34x = 12,914.42 × 5,166.50
4. Step 4: Simplify right side
   9,358.34x = 66,722,350.93
5. Step 5: Solve for x
   x = 66,722,350.93/9,358.34
6. Step 6: Final answer
   x = 7,129.72