Finding the Fourth Proportional to 1,854.17, 2,559.41 and 1,146.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,854.17 : 2,559.41 = 1,146.56 : x
2. Step 2: Convert to fraction form
   1,854.17/2,559.41 = 1,146.56/x
3. Step 3: Cross multiply
   1,854.17x = 2,559.41 × 1,146.56
4. Step 4: Simplify right side
   1,854.17x = 2,934,517.30
5. Step 5: Solve for x
   x = 2,934,517.30/1,854.17
6. Step 6: Final answer
   x = 1,582.65