Finding the Fourth Proportional to 9,229.95, 12,730.77 and 5,694.30

Step by Step Solution

1. Step 1: Write the proportion equation
   9,229.95 : 12,730.77 = 5,694.30 : x
2. Step 2: Convert to fraction form
   9,229.95/12,730.77 = 5,694.30/x
3. Step 3: Cross multiply
   9,229.95x = 12,730.77 × 5,694.30
4. Step 4: Simplify right side
   9,229.95x = 72,492,823.61
5. Step 5: Solve for x
   x = 72,492,823.61/9,229.95
6. Step 6: Final answer
   x = 7,854.09