Finding the Fourth Proportional to 1,077.50, 1,486.88 and 635.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,077.50 : 1,486.88 = 635.30 : x
2. Step 2: Convert to fraction form
   1,077.50/1,486.88 = 635.30/x
3. Step 3: Cross multiply
   1,077.50x = 1,486.88 × 635.30
4. Step 4: Simplify right side
   1,077.50x = 944,614.86
5. Step 5: Solve for x
   x = 944,614.86/1,077.50
6. Step 6: Final answer
   x = 876.67