Finding the Fourth Proportional to 1,055.42, 1,456.38 and 635.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,055.42 : 1,456.38 = 635.78 : x
2. Step 2: Convert to fraction form
   1,055.42/1,456.38 = 635.78/x
3. Step 3: Cross multiply
   1,055.42x = 1,456.38 × 635.78
4. Step 4: Simplify right side
   1,055.42x = 925,937.28
5. Step 5: Solve for x
   x = 925,937.28/1,055.42
6. Step 6: Final answer
   x = 877.32