Finding the Fourth Proportional to 2,745.79, 3,789 and 1,566.83

Step by Step Solution

1. Step 1: Write the proportion equation
   2,745.79 : 3,789 = 1,566.83 : x
2. Step 2: Convert to fraction form
   2,745.79/3,789 = 1,566.83/x
3. Step 3: Cross multiply
   2,745.79x = 3,789 × 1,566.83
4. Step 4: Simplify right side
   2,745.79x = 5,936,728.34
5. Step 5: Solve for x
   x = 5,936,728.34/2,745.79
6. Step 6: Final answer
   x = 2,162.12