Finding the Fourth Proportional to 1,059.50, 1,461.77 and 686.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,059.50 : 1,461.77 = 686.77 : x
2. Step 2: Convert to fraction form
   1,059.50/1,461.77 = 686.77/x
3. Step 3: Cross multiply
   1,059.50x = 1,461.77 × 686.77
4. Step 4: Simplify right side
   1,059.50x = 1,003,899.78
5. Step 5: Solve for x
   x = 1,003,899.78/1,059.50
6. Step 6: Final answer
   x = 947.52