Finding the Fourth Proportional to 10,807.50, 14,914.35 and 5,839.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,807.50 : 14,914.35 = 5,839.50 : x
2. Step 2: Convert to fraction form
   10,807.50/14,914.35 = 5,839.50/x
3. Step 3: Cross multiply
   10,807.50x = 14,914.35 × 5,839.50
4. Step 4: Simplify right side
   10,807.50x = 87,092,346.83
5. Step 5: Solve for x
   x = 87,092,346.83/10,807.50
6. Step 6: Final answer
   x = 8,058.51