Finding the Fourth Proportional to 1,262.50, 1,742.42 and 765.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,262.50 : 1,742.42 = 765.33 : x
2. Step 2: Convert to fraction form
   1,262.50/1,742.42 = 765.33/x
3. Step 3: Cross multiply
   1,262.50x = 1,742.42 × 765.33
4. Step 4: Simplify right side
   1,262.50x = 1,333,513.76
5. Step 5: Solve for x
   x = 1,333,513.76/1,262.50
6. Step 6: Final answer
   x = 1,056.25