Finding the Fourth Proportional to 1,604.86, 2,405.12 and 1,414.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,604.86 : 2,405.12 = 1,414.78 : x
2. Step 2: Convert to fraction form
   1,604.86/2,405.12 = 1,414.78/x
3. Step 3: Cross multiply
   1,604.86x = 2,405.12 × 1,414.78
4. Step 4: Simplify right side
   1,604.86x = 3,402,715.67
5. Step 5: Solve for x
   x = 3,402,715.67/1,604.86
6. Step 6: Final answer
   x = 2,120.26