Finding the Fourth Proportional to 1,074.64, 1,610.72 and 488.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,074.64 : 1,610.72 = 488.76 : x
2. Step 2: Convert to fraction form
   1,074.64/1,610.72 = 488.76/x
3. Step 3: Cross multiply
   1,074.64x = 1,610.72 × 488.76
4. Step 4: Simplify right side
   1,074.64x = 787,253.06
5. Step 5: Solve for x
   x = 787,253.06/1,074.64
6. Step 6: Final answer
   x = 732.58