Finding the Fourth Proportional to 10,934.50, 15,089.61 and 5,966.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,934.50 : 15,089.61 = 5,966.50 : x
2. Step 2: Convert to fraction form
   10,934.50/15,089.61 = 5,966.50/x
3. Step 3: Cross multiply
   10,934.50x = 15,089.61 × 5,966.50
4. Step 4: Simplify right side
   10,934.50x = 90,032,158.07
5. Step 5: Solve for x
   x = 90,032,158.07/10,934.50
6. Step 6: Final answer
   x = 8,233.77