Finding the Fourth Proportional to 9,140.86, 12,614.88 and 5,162.14

Step by Step Solution

1. Step 1: Write the proportion equation
   9,140.86 : 12,614.88 = 5,162.14 : x
2. Step 2: Convert to fraction form
   9,140.86/12,614.88 = 5,162.14/x
3. Step 3: Cross multiply
   9,140.86x = 12,614.88 × 5,162.14
4. Step 4: Simplify right side
   9,140.86x = 65,119,776.64
5. Step 5: Solve for x
   x = 65,119,776.64/9,140.86
6. Step 6: Final answer
   x = 7,124.03