Finding the Fourth Proportional to 9,780, 13,496.42 and 5,588.24

Step by Step Solution

1. Step 1: Write the proportion equation
   9,780 : 13,496.42 = 5,588.24 : x
2. Step 2: Convert to fraction form
   9,780/13,496.42 = 5,588.24/x
3. Step 3: Cross multiply
   9,780x = 13,496.42 × 5,588.24
4. Step 4: Simplify right side
   9,780x = 75,421,234.10
5. Step 5: Solve for x
   x = 75,421,234.10/9,780
6. Step 6: Final answer
   x = 7,711.78