Finding the Fourth Proportional to 10,099.49, 13,937.16 and 5,623.12

Step by Step Solution

1. Step 1: Write the proportion equation
   10,099.49 : 13,937.16 = 5,623.12 : x
2. Step 2: Convert to fraction form
   10,099.49/13,937.16 = 5,623.12/x
3. Step 3: Cross multiply
   10,099.49x = 13,937.16 × 5,623.12
4. Step 4: Simplify right side
   10,099.49x = 78,370,361.65
5. Step 5: Solve for x
   x = 78,370,361.65/10,099.49
6. Step 6: Final answer
   x = 7,759.84