Finding the Fourth Proportional to 9,758.60, 13,468.69 and 5,566.85

Step by Step Solution

1. Step 1: Write the proportion equation
   9,758.60 : 13,468.69 = 5,566.85 : x
2. Step 2: Convert to fraction form
   9,758.60/13,468.69 = 5,566.85/x
3. Step 3: Cross multiply
   9,758.60x = 13,468.69 × 5,566.85
4. Step 4: Simplify right side
   9,758.60x = 74,978,081.75
5. Step 5: Solve for x
   x = 74,978,081.75/9,758.60
6. Step 6: Final answer
   x = 7,683.29