Finding the Fourth Proportional to 1,503.72, 2,255.69 and 408.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,503.72 : 2,255.69 = 408.06 : x
2. Step 2: Convert to fraction form
   1,503.72/2,255.69 = 408.06/x
3. Step 3: Cross multiply
   1,503.72x = 2,255.69 × 408.06
4. Step 4: Simplify right side
   1,503.72x = 920,454.82
5. Step 5: Solve for x
   x = 920,454.82/1,503.72
6. Step 6: Final answer
   x = 612.12