Finding the Fourth Proportional to 9,782.42, 13,499.97 and 5,532.62

Step by Step Solution

1. Step 1: Write the proportion equation
   9,782.42 : 13,499.97 = 5,532.62 : x
2. Step 2: Convert to fraction form
   9,782.42/13,499.97 = 5,532.62/x
3. Step 3: Cross multiply
   9,782.42x = 13,499.97 × 5,532.62
4. Step 4: Simplify right side
   9,782.42x = 74,690,204.02
5. Step 5: Solve for x
   x = 74,690,204.02/9,782.42
6. Step 6: Final answer
   x = 7,635.15