Finding the Fourth Proportional to 2,684.22, 3,703.86 and 1,564.89

Step by Step Solution

1. Step 1: Write the proportion equation
   2,684.22 : 3,703.86 = 1,564.89 : x
2. Step 2: Convert to fraction form
   2,684.22/3,703.86 = 1,564.89/x
3. Step 3: Cross multiply
   2,684.22x = 3,703.86 × 1,564.89
4. Step 4: Simplify right side
   2,684.22x = 5,796,133.48
5. Step 5: Solve for x
   x = 5,796,133.48/2,684.22
6. Step 6: Final answer
   x = 2,159.34