Finding the Fourth Proportional to 1,205.00, 1,798.77 and 1,114.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,205.00 : 1,798.77 = 1,114.82 : x
2. Step 2: Convert to fraction form
   1,205.00/1,798.77 = 1,114.82/x
3. Step 3: Cross multiply
   1,205.00x = 1,798.77 × 1,114.82
4. Step 4: Simplify right side
   1,205.00x = 2,005,295.78
5. Step 5: Solve for x
   x = 2,005,295.78/1,205.00
6. Step 6: Final answer
   x = 1,664.15