Finding the Fourth Proportional to 1,077.41, 1,487.27 and 762.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,077.41 : 1,487.27 = 762.72 : x
2. Step 2: Convert to fraction form
   1,077.41/1,487.27 = 762.72/x
3. Step 3: Cross multiply
   1,077.41x = 1,487.27 × 762.72
4. Step 4: Simplify right side
   1,077.41x = 1,134,366.76
5. Step 5: Solve for x
   x = 1,134,366.76/1,077.41
6. Step 6: Final answer
   x = 1,052.87