Finding the Fourth Proportional to 1,606.86, 2,408.12 and 1,416.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,606.86 : 2,408.12 = 1,416.78 : x
2. Step 2: Convert to fraction form
   1,606.86/2,408.12 = 1,416.78/x
3. Step 3: Cross multiply
   1,606.86x = 2,408.12 × 1,416.78
4. Step 4: Simplify right side
   1,606.86x = 3,411,776.25
5. Step 5: Solve for x
   x = 3,411,776.25/1,606.86
6. Step 6: Final answer
   x = 2,123.26