Finding the Fourth Proportional to 1,352.02, 1,865.85 and 762.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,352.02 : 1,865.85 = 762.58 : x
2. Step 2: Convert to fraction form
   1,352.02/1,865.85 = 762.58/x
3. Step 3: Cross multiply
   1,352.02x = 1,865.85 × 762.58
4. Step 4: Simplify right side
   1,352.02x = 1,422,859.89
5. Step 5: Solve for x
   x = 1,422,859.89/1,352.02
6. Step 6: Final answer
   x = 1,052.40