Finding the Fourth Proportional to 9,829.37, 13,564.84 and 5,580.62

Step by Step Solution

1. Step 1: Write the proportion equation
   9,829.37 : 13,564.84 = 5,580.62 : x
2. Step 2: Convert to fraction form
   9,829.37/13,564.84 = 5,580.62/x
3. Step 3: Cross multiply
   9,829.37x = 13,564.84 × 5,580.62
4. Step 4: Simplify right side
   9,829.37x = 75,700,135.63
5. Step 5: Solve for x
   x = 75,700,135.63/9,829.37
6. Step 6: Final answer
   x = 7,701.43