Finding the Fourth Proportional to 1,105.83, 1,526.04 and 686.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.83 : 1,526.04 = 686.05 : x
2. Step 2: Convert to fraction form
   1,105.83/1,526.04 = 686.05/x
3. Step 3: Cross multiply
   1,105.83x = 1,526.04 × 686.05
4. Step 4: Simplify right side
   1,105.83x = 1,046,935.93
5. Step 5: Solve for x
   x = 1,046,935.93/1,105.83
6. Step 6: Final answer
   x = 946.74