Finding the Fourth Proportional to 1,822.29, 2,514.69 and 1,025.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,822.29 : 2,514.69 = 1,025.58 : x
2. Step 2: Convert to fraction form
   1,822.29/2,514.69 = 1,025.58/x
3. Step 3: Cross multiply
   1,822.29x = 2,514.69 × 1,025.58
4. Step 4: Simplify right side
   1,822.29x = 2,579,015.77
5. Step 5: Solve for x
   x = 2,579,015.77/1,822.29
6. Step 6: Final answer
   x = 1,415.26