Finding the Fourth Proportional to 10,103.60, 13,942.58 and 5,627.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,103.60 : 13,942.58 = 5,627.20 : x
2. Step 2: Convert to fraction form
   10,103.60/13,942.58 = 5,627.20/x
3. Step 3: Cross multiply
   10,103.60x = 13,942.58 × 5,627.20
4. Step 4: Simplify right side
   10,103.60x = 78,457,686.18
5. Step 5: Solve for x
   x = 78,457,686.18/10,103.60
6. Step 6: Final answer
   x = 7,765.32