Finding the Fourth Proportional to 1,454.05, 2,180.89 and 414.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,454.05 : 2,180.89 = 414.10 : x
2. Step 2: Convert to fraction form
   1,454.05/2,180.89 = 414.10/x
3. Step 3: Cross multiply
   1,454.05x = 2,180.89 × 414.10
4. Step 4: Simplify right side
   1,454.05x = 903,106.55
5. Step 5: Solve for x
   x = 903,106.55/1,454.05
6. Step 6: Final answer
   x = 621.10