Finding the Fourth Proportional to 1,325.31, 1,828.71 and 765.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,325.31 : 1,828.71 = 765.83 : x
2. Step 2: Convert to fraction form
   1,325.31/1,828.71 = 765.83/x
3. Step 3: Cross multiply
   1,325.31x = 1,828.71 × 765.83
4. Step 4: Simplify right side
   1,325.31x = 1,400,471.84
5. Step 5: Solve for x
   x = 1,400,471.84/1,325.31
6. Step 6: Final answer
   x = 1,056.71