Finding the Fourth Proportional to 10,057.50, 15,089.49 and 5,122.98

Step by Step Solution

1. Step 1: Write the proportion equation
   10,057.50 : 15,089.49 = 5,122.98 : x
2. Step 2: Convert to fraction form
   10,057.50/15,089.49 = 5,122.98/x
3. Step 3: Cross multiply
   10,057.50x = 15,089.49 × 5,122.98
4. Step 4: Simplify right side
   10,057.50x = 77,303,155.48
5. Step 5: Solve for x
   x = 77,303,155.48/10,057.50
6. Step 6: Final answer
   x = 7,686.12