Finding the Fourth Proportional to 9,589.86, 13,250.52 and 7,617.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,589.86 : 13,250.52 = 7,617.78 : x
2. Step 2: Convert to fraction form
   9,589.86/13,250.52 = 7,617.78/x
3. Step 3: Cross multiply
   9,589.86x = 13,250.52 × 7,617.78
4. Step 4: Simplify right side
   9,589.86x = 100,939,546.25
5. Step 5: Solve for x
   x = 100,939,546.25/9,589.86
6. Step 6: Final answer
   x = 10,525.65