Finding the Fourth Proportional to 10,124.50, 15,191.61 and 5,507.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,124.50 : 15,191.61 = 5,507.50 : x
2. Step 2: Convert to fraction form
   10,124.50/15,191.61 = 5,507.50/x
3. Step 3: Cross multiply
   10,124.50x = 15,191.61 × 5,507.50
4. Step 4: Simplify right side
   10,124.50x = 83,667,792.08
5. Step 5: Solve for x
   x = 83,667,792.08/10,124.50
6. Step 6: Final answer
   x = 8,263.89