Finding the Fourth Proportional to 9,152.70, 12,631.84 and 5,969.40

Step by Step Solution

1. Step 1: Write the proportion equation
   9,152.70 : 12,631.84 = 5,969.40 : x
2. Step 2: Convert to fraction form
   9,152.70/12,631.84 = 5,969.40/x
3. Step 3: Cross multiply
   9,152.70x = 12,631.84 × 5,969.40
4. Step 4: Simplify right side
   9,152.70x = 75,404,505.70
5. Step 5: Solve for x
   x = 75,404,505.70/9,152.70
6. Step 6: Final answer
   x = 8,238.50