Finding the Fourth Proportional to 2,259.57, 3,389.24 and 942.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,259.57 : 3,389.24 = 942.78 : x
2. Step 2: Convert to fraction form
   2,259.57/3,389.24 = 942.78/x
3. Step 3: Cross multiply
   2,259.57x = 3,389.24 × 942.78
4. Step 4: Simplify right side
   2,259.57x = 3,195,307.69
5. Step 5: Solve for x
   x = 3,195,307.69/2,259.57
6. Step 6: Final answer
   x = 1,414.12