Finding the Fourth Proportional to 1,059.42, 1,462.32 and 686.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,059.42 : 1,462.32 = 686.42 : x
2. Step 2: Convert to fraction form
   1,059.42/1,462.32 = 686.42/x
3. Step 3: Cross multiply
   1,059.42x = 1,462.32 × 686.42
4. Step 4: Simplify right side
   1,059.42x = 1,003,765.69
5. Step 5: Solve for x
   x = 1,003,765.69/1,059.42
6. Step 6: Final answer
   x = 947.47