Finding the Fourth Proportional to 10,102.55, 13,941.90 and 5,565.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,102.55 : 13,941.90 = 5,565.42 : x
2. Step 2: Convert to fraction form
   10,102.55/13,941.90 = 5,565.42/x
3. Step 3: Cross multiply
   10,102.55x = 13,941.90 × 5,565.42
4. Step 4: Simplify right side
   10,102.55x = 77,592,431.56
5. Step 5: Solve for x
   x = 77,592,431.56/10,102.55
6. Step 6: Final answer
   x = 7,680.48