Finding the Fourth Proportional to 1,822.82, 2,515.46 and 1,026.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,822.82 : 2,515.46 = 1,026.18 : x
2. Step 2: Convert to fraction form
   1,822.82/2,515.46 = 1,026.18/x
3. Step 3: Cross multiply
   1,822.82x = 2,515.46 × 1,026.18
4. Step 4: Simplify right side
   1,822.82x = 2,581,314.74
5. Step 5: Solve for x
   x = 2,581,314.74/1,822.82
6. Step 6: Final answer
   x = 1,416.11