Finding the Fourth Proportional to 9,781.50, 13,498.49 and 5,589.74

Step by Step Solution

1. Step 1: Write the proportion equation
   9,781.50 : 13,498.49 = 5,589.74 : x
2. Step 2: Convert to fraction form
   9,781.50/13,498.49 = 5,589.74/x
3. Step 3: Cross multiply
   9,781.50x = 13,498.49 × 5,589.74
4. Step 4: Simplify right side
   9,781.50x = 75,453,049.49
5. Step 5: Solve for x
   x = 75,453,049.49/9,781.50
6. Step 6: Final answer
   x = 7,713.85