Finding the Fourth Proportional to 1,371.98, 1,892.85 and 782.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,371.98 : 1,892.85 = 782.30 : x
2. Step 2: Convert to fraction form
   1,371.98/1,892.85 = 782.30/x
3. Step 3: Cross multiply
   1,371.98x = 1,892.85 × 782.30
4. Step 4: Simplify right side
   1,371.98x = 1,480,776.56
5. Step 5: Solve for x
   x = 1,480,776.56/1,371.98
6. Step 6: Final answer
   x = 1,079.30