Finding the Fourth Proportional to 1,150.59, 1,726.62 and 420.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,150.59 : 1,726.62 = 420.10 : x
2. Step 2: Convert to fraction form
   1,150.59/1,726.62 = 420.10/x
3. Step 3: Cross multiply
   1,150.59x = 1,726.62 × 420.10
4. Step 4: Simplify right side
   1,150.59x = 725,353.06
5. Step 5: Solve for x
   x = 725,353.06/1,150.59
6. Step 6: Final answer
   x = 630.42