Finding the Fourth Proportional to 1,075.69, 1,614.14 and 498.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,075.69 : 1,614.14 = 498.56 : x
2. Step 2: Convert to fraction form
   1,075.69/1,614.14 = 498.56/x
3. Step 3: Cross multiply
   1,075.69x = 1,614.14 × 498.56
4. Step 4: Simplify right side
   1,075.69x = 804,750.92
5. Step 5: Solve for x
   x = 804,750.92/1,075.69
6. Step 6: Final answer
   x = 748.13