Finding the Fourth Proportional to 9,782.56, 13,500.84 and 5,590

Step by Step Solution

1. Step 1: Write the proportion equation
   9,782.56 : 13,500.84 = 5,590 : x
2. Step 2: Convert to fraction form
   9,782.56/13,500.84 = 5,590/x
3. Step 3: Cross multiply
   9,782.56x = 13,500.84 × 5,590
4. Step 4: Simplify right side
   9,782.56x = 75,469,695.60
5. Step 5: Solve for x
   x = 75,469,695.60/9,782.56
6. Step 6: Final answer
   x = 7,714.72