Finding the Fourth Proportional to 1,077.50, 1,486.42 and 762.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,077.50 : 1,486.42 = 762.76 : x
2. Step 2: Convert to fraction form
   1,077.50/1,486.42 = 762.76/x
3. Step 3: Cross multiply
   1,077.50x = 1,486.42 × 762.76
4. Step 4: Simplify right side
   1,077.50x = 1,133,781.72
5. Step 5: Solve for x
   x = 1,133,781.72/1,077.50
6. Step 6: Final answer
   x = 1,052.23