Finding the Fourth Proportional to 9,677.90, 13,358.13 and 5,700.32

Step by Step Solution

1. Step 1: Write the proportion equation
   9,677.90 : 13,358.13 = 5,700.32 : x
2. Step 2: Convert to fraction form
   9,677.90/13,358.13 = 5,700.32/x
3. Step 3: Cross multiply
   9,677.90x = 13,358.13 × 5,700.32
4. Step 4: Simplify right side
   9,677.90x = 76,145,615.60
5. Step 5: Solve for x
   x = 76,145,615.60/9,677.90
6. Step 6: Final answer
   x = 7,867.99