Finding the Fourth Proportional to 9,780.24, 13,496.90 and 5,588.52

Step by Step Solution

1. Step 1: Write the proportion equation
   9,780.24 : 13,496.90 = 5,588.52 : x
2. Step 2: Convert to fraction form
   9,780.24/13,496.90 = 5,588.52/x
3. Step 3: Cross multiply
   9,780.24x = 13,496.90 × 5,588.52
4. Step 4: Simplify right side
   9,780.24x = 75,427,695.59
5. Step 5: Solve for x
   x = 75,427,695.59/9,780.24
6. Step 6: Final answer
   x = 7,712.25