Finding the Fourth Proportional to 10,102.32, 13,941.50 and 5,565.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,102.32 : 13,941.50 = 5,565.16 : x
2. Step 2: Convert to fraction form
   10,102.32/13,941.50 = 5,565.16/x
3. Step 3: Cross multiply
   10,102.32x = 13,941.50 × 5,565.16
4. Step 4: Simplify right side
   10,102.32x = 77,586,678.14
5. Step 5: Solve for x
   x = 77,586,678.14/10,102.32
6. Step 6: Final answer
   x = 7,680.09