Finding the Fourth Proportional to 9,659.76, 14,480.04 and 5,758.32

Step by Step Solution

1. Step 1: Write the proportion equation
   9,659.76 : 14,480.04 = 5,758.32 : x
2. Step 2: Convert to fraction form
   9,659.76/14,480.04 = 5,758.32/x
3. Step 3: Cross multiply
   9,659.76x = 14,480.04 × 5,758.32
4. Step 4: Simplify right side
   9,659.76x = 83,380,703.93
5. Step 5: Solve for x
   x = 83,380,703.93/9,659.76
6. Step 6: Final answer
   x = 8,631.76