Finding the Fourth Proportional to 2,337.78, 3,506.64 and 1,022.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,337.78 : 3,506.64 = 1,022.82 : x
2. Step 2: Convert to fraction form
   2,337.78/3,506.64 = 1,022.82/x
3. Step 3: Cross multiply
   2,337.78x = 3,506.64 × 1,022.82
4. Step 4: Simplify right side
   2,337.78x = 3,586,661.52
5. Step 5: Solve for x
   x = 3,586,661.52/2,337.78
6. Step 6: Final answer
   x = 1,534.22