Finding the Fourth Proportional to 1,028.46, 1,419.83 and 635.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,028.46 : 1,419.83 = 635.72 : x
2. Step 2: Convert to fraction form
   1,028.46/1,419.83 = 635.72/x
3. Step 3: Cross multiply
   1,028.46x = 1,419.83 × 635.72
4. Step 4: Simplify right side
   1,028.46x = 902,606.43
5. Step 5: Solve for x
   x = 902,606.43/1,028.46
6. Step 6: Final answer
   x = 877.63