Finding the Fourth Proportional to 9,782.64, 13,499.80 and 5,590.62

Step by Step Solution

1. Step 1: Write the proportion equation
   9,782.64 : 13,499.80 = 5,590.62 : x
2. Step 2: Convert to fraction form
   9,782.64/13,499.80 = 5,590.62/x
3. Step 3: Cross multiply
   9,782.64x = 13,499.80 × 5,590.62
4. Step 4: Simplify right side
   9,782.64x = 75,472,251.88
5. Step 5: Solve for x
   x = 75,472,251.88/9,782.64
6. Step 6: Final answer
   x = 7,714.92