Finding the Fourth Proportional to 9,830.64, 13,566.78 and 5,581.74

Step by Step Solution

1. Step 1: Write the proportion equation
   9,830.64 : 13,566.78 = 5,581.74 : x
2. Step 2: Convert to fraction form
   9,830.64/13,566.78 = 5,581.74/x
3. Step 3: Cross multiply
   9,830.64x = 13,566.78 × 5,581.74
4. Step 4: Simplify right side
   9,830.64x = 75,726,238.60
5. Step 5: Solve for x
   x = 75,726,238.60/9,830.64
6. Step 6: Final answer
   x = 7,703.08