Finding the Fourth Proportional to 1,352.09, 1,865.87 and 762.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,352.09 : 1,865.87 = 762.82 : x
2. Step 2: Convert to fraction form
   1,352.09/1,865.87 = 762.82/x
3. Step 3: Cross multiply
   1,352.09x = 1,865.87 × 762.82
4. Step 4: Simplify right side
   1,352.09x = 1,423,317.34
5. Step 5: Solve for x
   x = 1,423,317.34/1,352.09
6. Step 6: Final answer
   x = 1,052.68