Finding the Fourth Proportional to 1,028.86, 1,419.78 and 635.92

Step by Step Solution

1. Step 1: Write the proportion equation
   1,028.86 : 1,419.78 = 635.92 : x
2. Step 2: Convert to fraction form
   1,028.86/1,419.78 = 635.92/x
3. Step 3: Cross multiply
   1,028.86x = 1,419.78 × 635.92
4. Step 4: Simplify right side
   1,028.86x = 902,866.50
5. Step 5: Solve for x
   x = 902,866.50/1,028.86
6. Step 6: Final answer
   x = 877.54