Finding the Fourth Proportional to 9,677.27, 13,348.29 and 5,695.62

Step by Step Solution

1. Step 1: Write the proportion equation
   9,677.27 : 13,348.29 = 5,695.62 : x
2. Step 2: Convert to fraction form
   9,677.27/13,348.29 = 5,695.62/x
3. Step 3: Cross multiply
   9,677.27x = 13,348.29 × 5,695.62
4. Step 4: Simplify right side
   9,677.27x = 76,026,758.79
5. Step 5: Solve for x
   x = 76,026,758.79/9,677.27
6. Step 6: Final answer
   x = 7,856.22