Finding the Fourth Proportional to 1,075.96, 1,614.12 and 498.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,075.96 : 1,614.12 = 498.82 : x
2. Step 2: Convert to fraction form
   1,075.96/1,614.12 = 498.82/x
3. Step 3: Cross multiply
   1,075.96x = 1,614.12 × 498.82
4. Step 4: Simplify right side
   1,075.96x = 805,155.34
5. Step 5: Solve for x
   x = 805,155.34/1,075.96
6. Step 6: Final answer
   x = 748.31