Finding the Fourth Proportional to 2,385.78, 3,577.77 and 1,412.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,385.78 : 3,577.77 = 1,412.16 : x
2. Step 2: Convert to fraction form
   2,385.78/3,577.77 = 1,412.16/x
3. Step 3: Cross multiply
   2,385.78x = 3,577.77 × 1,412.16
4. Step 4: Simplify right side
   2,385.78x = 5,052,383.68
5. Step 5: Solve for x
   x = 5,052,383.68/2,385.78
6. Step 6: Final answer
   x = 2,117.71