Finding the Fourth Proportional to 1,150.74, 1,724.76 and 500.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,150.74 : 1,724.76 = 500.76 : x
2. Step 2: Convert to fraction form
   1,150.74/1,724.76 = 500.76/x
3. Step 3: Cross multiply
   1,150.74x = 1,724.76 × 500.76
4. Step 4: Simplify right side
   1,150.74x = 863,690.82
5. Step 5: Solve for x
   x = 863,690.82/1,150.74
6. Step 6: Final answer
   x = 750.55