Finding the Fourth Proportional to 9,780.16, 13,496.88 and 5,589.76

Step by Step Solution

1. Step 1: Write the proportion equation
   9,780.16 : 13,496.88 = 5,589.76 : x
2. Step 2: Convert to fraction form
   9,780.16/13,496.88 = 5,589.76/x
3. Step 3: Cross multiply
   9,780.16x = 13,496.88 × 5,589.76
4. Step 4: Simplify right side
   9,780.16x = 75,444,319.95
5. Step 5: Solve for x
   x = 75,444,319.95/9,780.16
6. Step 6: Final answer
   x = 7,714.02