Finding the Fourth Proportional to 1,074.24, 1,612.17 and 497.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,074.24 : 1,612.17 = 497.52 : x
2. Step 2: Convert to fraction form
   1,074.24/1,612.17 = 497.52/x
3. Step 3: Cross multiply
   1,074.24x = 1,612.17 × 497.52
4. Step 4: Simplify right side
   1,074.24x = 802,086.82
5. Step 5: Solve for x
   x = 802,086.82/1,074.24
6. Step 6: Final answer
   x = 746.66