Finding the Fourth Proportional to 9,827.61, 13,559.77 and 5,577.74

Step by Step Solution

1. Step 1: Write the proportion equation
   9,827.61 : 13,559.77 = 5,577.74 : x
2. Step 2: Convert to fraction form
   9,827.61/13,559.77 = 5,577.74/x
3. Step 3: Cross multiply
   9,827.61x = 13,559.77 × 5,577.74
4. Step 4: Simplify right side
   9,827.61x = 75,632,871.52
5. Step 5: Solve for x
   x = 75,632,871.52/9,827.61
6. Step 6: Final answer
   x = 7,695.96