Finding the Fourth Proportional to 10,099.81, 13,937.98 and 5,623.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,099.81 : 13,937.98 = 5,623.86 : x
2. Step 2: Convert to fraction form
   10,099.81/13,937.98 = 5,623.86/x
3. Step 3: Cross multiply
   10,099.81x = 13,937.98 × 5,623.86
4. Step 4: Simplify right side
   10,099.81x = 78,385,248.20
5. Step 5: Solve for x
   x = 78,385,248.20/10,099.81
6. Step 6: Final answer
   x = 7,761.06