Finding the Fourth Proportional to 1,059.33, 1,461.52 and 686.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,059.33 : 1,461.52 = 686.78 : x
2. Step 2: Convert to fraction form
   1,059.33/1,461.52 = 686.78/x
3. Step 3: Cross multiply
   1,059.33x = 1,461.52 × 686.78
4. Step 4: Simplify right side
   1,059.33x = 1,003,742.71
5. Step 5: Solve for x
   x = 1,003,742.71/1,059.33
6. Step 6: Final answer
   x = 947.53