Finding the Fourth Proportional to 1,077.50, 1,486.72 and 635.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,077.50 : 1,486.72 = 635.24 : x
2. Step 2: Convert to fraction form
   1,077.50/1,486.72 = 635.24/x
3. Step 3: Cross multiply
   1,077.50x = 1,486.72 × 635.24
4. Step 4: Simplify right side
   1,077.50x = 944,424.01
5. Step 5: Solve for x
   x = 944,424.01/1,077.50
6. Step 6: Final answer
   x = 876.50