Finding the Fourth Proportional to 2,412, 3,613.16 and 1,111.68

Step by Step Solution

1. Step 1: Write the proportion equation
   2,412 : 3,613.16 = 1,111.68 : x
2. Step 2: Convert to fraction form
   2,412/3,613.16 = 1,111.68/x
3. Step 3: Cross multiply
   2,412x = 3,613.16 × 1,111.68
4. Step 4: Simplify right side
   2,412x = 4,016,677.71
5. Step 5: Solve for x
   x = 4,016,677.71/2,412
6. Step 6: Final answer
   x = 1,665.29