Finding the Fourth Proportional to 9,829.41, 13,564.17 and 5,580.39

Step by Step Solution

1. Step 1: Write the proportion equation
   9,829.41 : 13,564.17 = 5,580.39 : x
2. Step 2: Convert to fraction form
   9,829.41/13,564.17 = 5,580.39/x
3. Step 3: Cross multiply
   9,829.41x = 13,564.17 × 5,580.39
4. Step 4: Simplify right side
   9,829.41x = 75,693,358.63
5. Step 5: Solve for x
   x = 75,693,358.63/9,829.41
6. Step 6: Final answer
   x = 7,700.70