Finding the Fourth Proportional to 2,686.34, 3,705.71 and 1,566.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,686.34 : 3,705.71 = 1,566.86 : x
2. Step 2: Convert to fraction form
   2,686.34/3,705.71 = 1,566.86/x
3. Step 3: Cross multiply
   2,686.34x = 3,705.71 × 1,566.86
4. Step 4: Simplify right side
   2,686.34x = 5,806,330.20
5. Step 5: Solve for x
   x = 5,806,330.20/2,686.34
6. Step 6: Final answer
   x = 2,161.43