Finding the Fourth Proportional to 10,099.35, 13,937.40 and 5,623.47

Step by Step Solution

1. Step 1: Write the proportion equation
   10,099.35 : 13,937.40 = 5,623.47 : x
2. Step 2: Convert to fraction form
   10,099.35/13,937.40 = 5,623.47/x
3. Step 3: Cross multiply
   10,099.35x = 13,937.40 × 5,623.47
4. Step 4: Simplify right side
   10,099.35x = 78,376,550.78
5. Step 5: Solve for x
   x = 78,376,550.78/10,099.35
6. Step 6: Final answer
   x = 7,760.55