Finding the Fourth Proportional to 1,360.31, 2,038.78 and 775.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,360.31 : 2,038.78 = 775.80 : x
2. Step 2: Convert to fraction form
   1,360.31/2,038.78 = 775.80/x
3. Step 3: Cross multiply
   1,360.31x = 2,038.78 × 775.80
4. Step 4: Simplify right side
   1,360.31x = 1,581,685.52
5. Step 5: Solve for x
   x = 1,581,685.52/1,360.31
6. Step 6: Final answer
   x = 1,162.74