Finding the Fourth Proportional to 9,677.90, 14,498.58 and 5,717.34

Step by Step Solution

1. Step 1: Write the proportion equation
   9,677.90 : 14,498.58 = 5,717.34 : x
2. Step 2: Convert to fraction form
   9,677.90/14,498.58 = 5,717.34/x
3. Step 3: Cross multiply
   9,677.90x = 14,498.58 × 5,717.34
4. Step 4: Simplify right side
   9,677.90x = 82,893,311.38
5. Step 5: Solve for x
   x = 82,893,311.38/9,677.90
6. Step 6: Final answer
   x = 8,565.22