Finding the Fourth Proportional to 1,077.87, 1,486.89 and 635.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,077.87 : 1,486.89 = 635.61 : x
2. Step 2: Convert to fraction form
   1,077.87/1,486.89 = 635.61/x
3. Step 3: Cross multiply
   1,077.87x = 1,486.89 × 635.61
4. Step 4: Simplify right side
   1,077.87x = 945,082.15
5. Step 5: Solve for x
   x = 945,082.15/1,077.87
6. Step 6: Final answer
   x = 876.81