Finding the Fourth Proportional to 1,371.74, 1,892.96 and 782.26

Step by Step Solution

1. Step 1: Write the proportion equation
   1,371.74 : 1,892.96 = 782.26 : x
2. Step 2: Convert to fraction form
   1,371.74/1,892.96 = 782.26/x
3. Step 3: Cross multiply
   1,371.74x = 1,892.96 × 782.26
4. Step 4: Simplify right side
   1,371.74x = 1,480,781.18
5. Step 5: Solve for x
   x = 1,480,781.18/1,371.74
6. Step 6: Final answer
   x = 1,079.50