Finding the Fourth Proportional to 10,909.50, 15,055.14 and 5,941.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,909.50 : 15,055.14 = 5,941.50 : x
2. Step 2: Convert to fraction form
   10,909.50/15,055.14 = 5,941.50/x
3. Step 3: Cross multiply
   10,909.50x = 15,055.14 × 5,941.50
4. Step 4: Simplify right side
   10,909.50x = 89,450,114.31
5. Step 5: Solve for x
   x = 89,450,114.31/10,909.50
6. Step 6: Final answer
   x = 8,199.29