Finding the Fourth Proportional to 9,759.42, 13,468.77 and 5,567.58

Step by Step Solution

1. Step 1: Write the proportion equation
   9,759.42 : 13,468.77 = 5,567.58 : x
2. Step 2: Convert to fraction form
   9,759.42/13,468.77 = 5,567.58/x
3. Step 3: Cross multiply
   9,759.42x = 13,468.77 × 5,567.58
4. Step 4: Simplify right side
   9,759.42x = 74,988,454.48
5. Step 5: Solve for x
   x = 74,988,454.48/9,759.42
6. Step 6: Final answer
   x = 7,683.70