Finding the Fourth Proportional to 1,564.42, 2,344.83 and 686.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.42 : 2,344.83 = 686.59 : x
2. Step 2: Convert to fraction form
   1,564.42/2,344.83 = 686.59/x
3. Step 3: Cross multiply
   1,564.42x = 2,344.83 × 686.59
4. Step 4: Simplify right side
   1,564.42x = 1,609,936.83
5. Step 5: Solve for x
   x = 1,609,936.83/1,564.42
6. Step 6: Final answer
   x = 1,029.10