Finding the Fourth Proportional to 1,564.05, 2,346.73 and 686.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.05 : 2,346.73 = 686.10 : x
2. Step 2: Convert to fraction form
   1,564.05/2,346.73 = 686.10/x
3. Step 3: Cross multiply
   1,564.05x = 2,346.73 × 686.10
4. Step 4: Simplify right side
   1,564.05x = 1,610,100.06
5. Step 5: Solve for x
   x = 1,610,100.06/1,564.05
6. Step 6: Final answer
   x = 1,029.44