Finding the Fourth Proportional to 1,151.06, 1,726.76 and 410.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,151.06 : 1,726.76 = 410.61 : x
2. Step 2: Convert to fraction form
   1,151.06/1,726.76 = 410.61/x
3. Step 3: Cross multiply
   1,151.06x = 1,726.76 × 410.61
4. Step 4: Simplify right side
   1,151.06x = 709,030.89
5. Step 5: Solve for x
   x = 709,030.89/1,151.06
6. Step 6: Final answer
   x = 615.98