Finding the Fourth Proportional to 9,829.42, 13,564.77 and 5,580.37

Step by Step Solution

1. Step 1: Write the proportion equation
   9,829.42 : 13,564.77 = 5,580.37 : x
2. Step 2: Convert to fraction form
   9,829.42/13,564.77 = 5,580.37/x
3. Step 3: Cross multiply
   9,829.42x = 13,564.77 × 5,580.37
4. Step 4: Simplify right side
   9,829.42x = 75,696,435.56
5. Step 5: Solve for x
   x = 75,696,435.56/9,829.42
6. Step 6: Final answer
   x = 7,701.01