Finding the Fourth Proportional to 1,805.78, 2,492.19 and 1,019.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,805.78 : 2,492.19 = 1,019.82 : x
2. Step 2: Convert to fraction form
   1,805.78/2,492.19 = 1,019.82/x
3. Step 3: Cross multiply
   1,805.78x = 2,492.19 × 1,019.82
4. Step 4: Simplify right side
   1,805.78x = 2,541,585.21
5. Step 5: Solve for x
   x = 2,541,585.21/1,805.78
6. Step 6: Final answer
   x = 1,407.48