Finding the Fourth Proportional to 9,358.56, 12,914.64 and 5,166.72

Step by Step Solution

1. Step 1: Write the proportion equation
   9,358.56 : 12,914.64 = 5,166.72 : x
2. Step 2: Convert to fraction form
   9,358.56/12,914.64 = 5,166.72/x
3. Step 3: Cross multiply
   9,358.56x = 12,914.64 × 5,166.72
4. Step 4: Simplify right side
   9,358.56x = 66,726,328.78
5. Step 5: Solve for x
   x = 66,726,328.78/9,358.56
6. Step 6: Final answer
   x = 7,129.98