Finding the Fourth Proportional to 10,103.64, 13,942.68 and 5,627.04

Step by Step Solution

1. Step 1: Write the proportion equation
   10,103.64 : 13,942.68 = 5,627.04 : x
2. Step 2: Convert to fraction form
   10,103.64/13,942.68 = 5,627.04/x
3. Step 3: Cross multiply
   10,103.64x = 13,942.68 × 5,627.04
4. Step 4: Simplify right side
   10,103.64x = 78,456,018.07
5. Step 5: Solve for x
   x = 78,456,018.07/10,103.64
6. Step 6: Final answer
   x = 7,765.12