Finding the Fourth Proportional to 9,780.16, 13,495.92 and 5,588.32

Step by Step Solution

1. Step 1: Write the proportion equation
   9,780.16 : 13,495.92 = 5,588.32 : x
2. Step 2: Convert to fraction form
   9,780.16/13,495.92 = 5,588.32/x
3. Step 3: Cross multiply
   9,780.16x = 13,495.92 × 5,588.32
4. Step 4: Simplify right side
   9,780.16x = 75,419,519.65
5. Step 5: Solve for x
   x = 75,419,519.65/9,780.16
6. Step 6: Final answer
   x = 7,711.48