Finding the Fourth Proportional to 1,077.82, 1,487.37 and 635.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,077.82 : 1,487.37 = 635.71 : x
2. Step 2: Convert to fraction form
   1,077.82/1,487.37 = 635.71/x
3. Step 3: Cross multiply
   1,077.82x = 1,487.37 × 635.71
4. Step 4: Simplify right side
   1,077.82x = 945,535.98
5. Step 5: Solve for x
   x = 945,535.98/1,077.82
6. Step 6: Final answer
   x = 877.27