Finding the Fourth Proportional to 9,209.52, 12,702.69 and 5,674.68

Step by Step Solution

1. Step 1: Write the proportion equation
   9,209.52 : 12,702.69 = 5,674.68 : x
2. Step 2: Convert to fraction form
   9,209.52/12,702.69 = 5,674.68/x
3. Step 3: Cross multiply
   9,209.52x = 12,702.69 × 5,674.68
4. Step 4: Simplify right side
   9,209.52x = 72,083,700.89
5. Step 5: Solve for x
   x = 72,083,700.89/9,209.52
6. Step 6: Final answer
   x = 7,827.09