Finding the Fourth Proportional to 2,746.69, 3,789.49 and 1,566.91

Step by Step Solution

1. Step 1: Write the proportion equation
   2,746.69 : 3,789.49 = 1,566.91 : x
2. Step 2: Convert to fraction form
   2,746.69/3,789.49 = 1,566.91/x
3. Step 3: Cross multiply
   2,746.69x = 3,789.49 × 1,566.91
4. Step 4: Simplify right side
   2,746.69x = 5,937,789.78
5. Step 5: Solve for x
   x = 5,937,789.78/2,746.69
6. Step 6: Final answer
   x = 2,161.80