Finding the Fourth Proportional to 1,601.00, 2,399.31 and 1,186.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,601.00 : 2,399.31 = 1,186.77 : x
2. Step 2: Convert to fraction form
   1,601.00/2,399.31 = 1,186.77/x
3. Step 3: Cross multiply
   1,601.00x = 2,399.31 × 1,186.77
4. Step 4: Simplify right side
   1,601.00x = 2,847,429.13
5. Step 5: Solve for x
   x = 2,847,429.13/1,601.00
6. Step 6: Final answer
   x = 1,778.54