Finding the Fourth Proportional to 9,675.90, 14,495.58 and 5,715.34

Step by Step Solution

1. Step 1: Write the proportion equation
   9,675.90 : 14,495.58 = 5,715.34 : x
2. Step 2: Convert to fraction form
   9,675.90/14,495.58 = 5,715.34/x
3. Step 3: Cross multiply
   9,675.90x = 14,495.58 × 5,715.34
4. Step 4: Simplify right side
   9,675.90x = 82,847,168.20
5. Step 5: Solve for x
   x = 82,847,168.20/9,675.90
6. Step 6: Final answer
   x = 8,562.22