Finding the Fourth Proportional to 1,075.92, 1,614.42 and 498.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,075.92 : 1,614.42 = 498.72 : x
2. Step 2: Convert to fraction form
   1,075.92/1,614.42 = 498.72/x
3. Step 3: Cross multiply
   1,075.92x = 1,614.42 × 498.72
4. Step 4: Simplify right side
   1,075.92x = 805,143.54
5. Step 5: Solve for x
   x = 805,143.54/1,075.92
6. Step 6: Final answer
   x = 748.33