Finding the Fourth Proportional to 1,059.35, 1,461.42 and 686.45

Step by Step Solution

1. Step 1: Write the proportion equation
   1,059.35 : 1,461.42 = 686.45 : x
2. Step 2: Convert to fraction form
   1,059.35/1,461.42 = 686.45/x
3. Step 3: Cross multiply
   1,059.35x = 1,461.42 × 686.45
4. Step 4: Simplify right side
   1,059.35x = 1,003,191.76
5. Step 5: Solve for x
   x = 1,003,191.76/1,059.35
6. Step 6: Final answer
   x = 946.99