Finding the Fourth Proportional to 9,830.67, 13,565.76 and 5,580.60

Step by Step Solution

1. Step 1: Write the proportion equation
   9,830.67 : 13,565.76 = 5,580.60 : x
2. Step 2: Convert to fraction form
   9,830.67/13,565.76 = 5,580.60/x
3. Step 3: Cross multiply
   9,830.67x = 13,565.76 × 5,580.60
4. Step 4: Simplify right side
   9,830.67x = 75,705,080.26
5. Step 5: Solve for x
   x = 75,705,080.26/9,830.67
6. Step 6: Final answer
   x = 7,700.91