Finding the Fourth Proportional to 1,059.53, 1,461.85 and 686.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,059.53 : 1,461.85 = 686.72 : x
2. Step 2: Convert to fraction form
   1,059.53/1,461.85 = 686.72/x
3. Step 3: Cross multiply
   1,059.53x = 1,461.85 × 686.72
4. Step 4: Simplify right side
   1,059.53x = 1,003,883.57
5. Step 5: Solve for x
   x = 1,003,883.57/1,059.53
6. Step 6: Final answer
   x = 947.48