Finding the Fourth Proportional to 9,782.52, 13,499.64 and 5,590.52

Step by Step Solution

1. Step 1: Write the proportion equation
   9,782.52 : 13,499.64 = 5,590.52 : x
2. Step 2: Convert to fraction form
   9,782.52/13,499.64 = 5,590.52/x
3. Step 3: Cross multiply
   9,782.52x = 13,499.64 × 5,590.52
4. Step 4: Simplify right side
   9,782.52x = 75,470,007.41
5. Step 5: Solve for x
   x = 75,470,007.41/9,782.52
6. Step 6: Final answer
   x = 7,714.78