Finding the Fourth Proportional to 1,371.41, 1,892.57 and 782.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,371.41 : 1,892.57 = 782.09 : x
2. Step 2: Convert to fraction form
   1,371.41/1,892.57 = 782.09/x
3. Step 3: Cross multiply
   1,371.41x = 1,892.57 × 782.09
4. Step 4: Simplify right side
   1,371.41x = 1,480,146.70
5. Step 5: Solve for x
   x = 1,480,146.70/1,371.41
6. Step 6: Final answer
   x = 1,079.29