Finding the Fourth Proportional to 2,484, 3,727.76 and 1,185.57

Step by Step Solution

1. Step 1: Write the proportion equation
   2,484 : 3,727.76 = 1,185.57 : x
2. Step 2: Convert to fraction form
   2,484/3,727.76 = 1,185.57/x
3. Step 3: Cross multiply
   2,484x = 3,727.76 × 1,185.57
4. Step 4: Simplify right side
   2,484x = 4,419,514.50
5. Step 5: Solve for x
   x = 4,419,514.50/2,484
6. Step 6: Final answer
   x = 1,779.19