Finding the Fourth Proportional to 9,775.31, 13,490.84 and 5,582.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,775.31 : 13,490.84 = 5,582.75 : x
2. Step 2: Convert to fraction form
   9,775.31/13,490.84 = 5,582.75/x
3. Step 3: Cross multiply
   9,775.31x = 13,490.84 × 5,582.75
4. Step 4: Simplify right side
   9,775.31x = 75,315,987.01
5. Step 5: Solve for x
   x = 75,315,987.01/9,775.31
6. Step 6: Final answer
   x = 7,704.72