Finding the Fourth Proportional to 1,151.56, 1,726.35 and 458.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,151.56 : 1,726.35 = 458.72 : x
2. Step 2: Convert to fraction form
   1,151.56/1,726.35 = 458.72/x
3. Step 3: Cross multiply
   1,151.56x = 1,726.35 × 458.72
4. Step 4: Simplify right side
   1,151.56x = 791,911.27
5. Step 5: Solve for x
   x = 791,911.27/1,151.56
6. Step 6: Final answer
   x = 687.69