Finding the Fourth Proportional to 1,854, 2,558.52 and 1,026

Step by Step Solution

1. Step 1: Write the proportion equation
   1,854 : 2,558.52 = 1,026 : x
2. Step 2: Convert to fraction form
   1,854/2,558.52 = 1,026/x
3. Step 3: Cross multiply
   1,854x = 2,558.52 × 1,026
4. Step 4: Simplify right side
   1,854x = 2,625,041.52
5. Step 5: Solve for x
   x = 2,625,041.52/1,854
6. Step 6: Final answer
   x = 1,415.88