Finding the Fourth Proportional to 9,758.58, 13,464.81 and 5,566.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,758.58 : 13,464.81 = 5,566.02 : x
2. Step 2: Convert to fraction form
   9,758.58/13,464.81 = 5,566.02/x
3. Step 3: Cross multiply
   9,758.58x = 13,464.81 × 5,566.02
4. Step 4: Simplify right side
   9,758.58x = 74,945,401.76
5. Step 5: Solve for x
   x = 74,945,401.76/9,758.58
6. Step 6: Final answer
   x = 7,679.95