Finding the Fourth Proportional to 1,059.81, 1,461.27 and 686.65

Step by Step Solution

1. Step 1: Write the proportion equation
   1,059.81 : 1,461.27 = 686.65 : x
2. Step 2: Convert to fraction form
   1,059.81/1,461.27 = 686.65/x
3. Step 3: Cross multiply
   1,059.81x = 1,461.27 × 686.65
4. Step 4: Simplify right side
   1,059.81x = 1,003,381.02
5. Step 5: Solve for x
   x = 1,003,381.02/1,059.81
6. Step 6: Final answer
   x = 946.76