Finding the Fourth Proportional to 10,104.12, 13,942.17 and 5,627.93

Step by Step Solution

1. Step 1: Write the proportion equation
   10,104.12 : 13,942.17 = 5,627.93 : x
2. Step 2: Convert to fraction form
   10,104.12/13,942.17 = 5,627.93/x
3. Step 3: Cross multiply
   10,104.12x = 13,942.17 × 5,627.93
4. Step 4: Simplify right side
   10,104.12x = 78,465,487.10
5. Step 5: Solve for x
   x = 78,465,487.10/10,104.12
6. Step 6: Final answer
   x = 7,765.69