Finding the Fourth Proportional to 1,357.31, 1,873.05 and 767.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,357.31 : 1,873.05 = 767.82 : x
2. Step 2: Convert to fraction form
   1,357.31/1,873.05 = 767.82/x
3. Step 3: Cross multiply
   1,357.31x = 1,873.05 × 767.82
4. Step 4: Simplify right side
   1,357.31x = 1,438,165.25
5. Step 5: Solve for x
   x = 1,438,165.25/1,357.31
6. Step 6: Final answer
   x = 1,059.57