Finding the Fourth Proportional to 9,780.52, 13,496.84 and 5,588.76

Step by Step Solution

1. Step 1: Write the proportion equation
   9,780.52 : 13,496.84 = 5,588.76 : x
2. Step 2: Convert to fraction form
   9,780.52/13,496.84 = 5,588.76/x
3. Step 3: Cross multiply
   9,780.52x = 13,496.84 × 5,588.76
4. Step 4: Simplify right side
   9,780.52x = 75,430,599.52
5. Step 5: Solve for x
   x = 75,430,599.52/9,780.52
6. Step 6: Final answer
   x = 7,712.33