Finding the Fourth Proportional to 10,969.83, 15,138.32 and 5,934.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,969.83 : 15,138.32 = 5,934.06 : x
2. Step 2: Convert to fraction form
   10,969.83/15,138.32 = 5,934.06/x
3. Step 3: Cross multiply
   10,969.83x = 15,138.32 × 5,934.06
4. Step 4: Simplify right side
   10,969.83x = 89,831,751.86
5. Step 5: Solve for x
   x = 89,831,751.86/10,969.83
6. Step 6: Final answer
   x = 8,188.98