Finding the Fourth Proportional to 1,351.91, 1,865.69 and 762.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,351.91 : 1,865.69 = 762.50 : x
2. Step 2: Convert to fraction form
   1,351.91/1,865.69 = 762.50/x
3. Step 3: Cross multiply
   1,351.91x = 1,865.69 × 762.50
4. Step 4: Simplify right side
   1,351.91x = 1,422,575.48
5. Step 5: Solve for x
   x = 1,422,575.48/1,351.91
6. Step 6: Final answer
   x = 1,052.27