Finding the Fourth Proportional to 10,099.49, 13,935.60 and 5,623.11

Step by Step Solution

1. Step 1: Write the proportion equation
   10,099.49 : 13,935.60 = 5,623.11 : x
2. Step 2: Convert to fraction form
   10,099.49/13,935.60 = 5,623.11/x
3. Step 3: Cross multiply
   10,099.49x = 13,935.60 × 5,623.11
4. Step 4: Simplify right side
   10,099.49x = 78,361,411.72
5. Step 5: Solve for x
   x = 78,361,411.72/10,099.49
6. Step 6: Final answer
   x = 7,758.95