Finding the Fourth Proportional to 1,151.50, 1,726.56 and 420.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,151.50 : 1,726.56 = 420.82 : x
2. Step 2: Convert to fraction form
   1,151.50/1,726.56 = 420.82/x
3. Step 3: Cross multiply
   1,151.50x = 1,726.56 × 420.82
4. Step 4: Simplify right side
   1,151.50x = 726,570.98
5. Step 5: Solve for x
   x = 726,570.98/1,151.50
6. Step 6: Final answer
   x = 630.98