Finding the Fourth Proportional to 5,585.54, 7,758.56 and 5,496.22

Step by Step Solution

1. Step 1: Write the proportion equation
   5,585.54 : 7,758.56 = 5,496.22 : x
2. Step 2: Convert to fraction form
   5,585.54/7,758.56 = 5,496.22/x
3. Step 3: Cross multiply
   5,585.54x = 7,758.56 × 5,496.22
4. Step 4: Simplify right side
   5,585.54x = 42,642,752.64
5. Step 5: Solve for x
   x = 42,642,752.64/5,585.54
6. Step 6: Final answer
   x = 7,634.49