Finding the Fourth Proportional to 2,685.69, 3,705.93 and 1,566.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,685.69 : 3,705.93 = 1,566.50 : x
2. Step 2: Convert to fraction form
   2,685.69/3,705.93 = 1,566.50/x
3. Step 3: Cross multiply
   2,685.69x = 3,705.93 × 1,566.50
4. Step 4: Simplify right side
   2,685.69x = 5,805,320.82
5. Step 5: Solve for x
   x = 5,805,320.82/2,685.69
6. Step 6: Final answer
   x = 2,161.58