Finding the Fourth Proportional to 2,761.50, 3,810.82 and 1,566.48

Step by Step Solution

1. Step 1: Write the proportion equation
   2,761.50 : 3,810.82 = 1,566.48 : x
2. Step 2: Convert to fraction form
   2,761.50/3,810.82 = 1,566.48/x
3. Step 3: Cross multiply
   2,761.50x = 3,810.82 × 1,566.48
4. Step 4: Simplify right side
   2,761.50x = 5,969,573.31
5. Step 5: Solve for x
   x = 5,969,573.31/2,761.50
6. Step 6: Final answer
   x = 2,161.71