Finding the Fourth Proportional to 9,758.16, 13,466.64 and 5,566.32

Step by Step Solution

1. Step 1: Write the proportion equation
   9,758.16 : 13,466.64 = 5,566.32 : x
2. Step 2: Convert to fraction form
   9,758.16/13,466.64 = 5,566.32/x
3. Step 3: Cross multiply
   9,758.16x = 13,466.64 × 5,566.32
4. Step 4: Simplify right side
   9,758.16x = 74,959,627.56
5. Step 5: Solve for x
   x = 74,959,627.56/9,758.16
6. Step 6: Final answer
   x = 7,681.74