Finding the Fourth Proportional to 9,830.77, 13,566.59 and 5,581.51

Step by Step Solution

1. Step 1: Write the proportion equation
   9,830.77 : 13,566.59 = 5,581.51 : x
2. Step 2: Convert to fraction form
   9,830.77/13,566.59 = 5,581.51/x
3. Step 3: Cross multiply
   9,830.77x = 13,566.59 × 5,581.51
4. Step 4: Simplify right side
   9,830.77x = 75,722,016.86
5. Step 5: Solve for x
   x = 75,722,016.86/9,830.77
6. Step 6: Final answer
   x = 7,702.55