Finding the Fourth Proportional to 10,099.60, 13,937.34 and 5,623.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,099.60 : 13,937.34 = 5,623.24 : x
2. Step 2: Convert to fraction form
   10,099.60/13,937.34 = 5,623.24/x
3. Step 3: Cross multiply
   10,099.60x = 13,937.34 × 5,623.24
4. Step 4: Simplify right side
   10,099.60x = 78,373,007.78
5. Step 5: Solve for x
   x = 78,373,007.78/10,099.60
6. Step 6: Final answer
   x = 7,760.01