Finding the Fourth Proportional to 1,371.31, 1,892.75 and 782.19

Step by Step Solution

1. Step 1: Write the proportion equation
   1,371.31 : 1,892.75 = 782.19 : x
2. Step 2: Convert to fraction form
   1,371.31/1,892.75 = 782.19/x
3. Step 3: Cross multiply
   1,371.31x = 1,892.75 × 782.19
4. Step 4: Simplify right side
   1,371.31x = 1,480,490.61
5. Step 5: Solve for x
   x = 1,480,490.61/1,371.31
6. Step 6: Final answer
   x = 1,079.62