Finding the Fourth Proportional to 1,371.30, 1,892.34 and 782.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,371.30 : 1,892.34 = 782.02 : x
2. Step 2: Convert to fraction form
   1,371.30/1,892.34 = 782.02/x
3. Step 3: Cross multiply
   1,371.30x = 1,892.34 × 782.02
4. Step 4: Simplify right side
   1,371.30x = 1,479,855.39
5. Step 5: Solve for x
   x = 1,479,855.39/1,371.30
6. Step 6: Final answer
   x = 1,079.16