Finding the Fourth Proportional to 1,059.47, 1,461.81 and 746

Step by Step Solution

1. Step 1: Write the proportion equation
   1,059.47 : 1,461.81 = 746 : x
2. Step 2: Convert to fraction form
   1,059.47/1,461.81 = 746/x
3. Step 3: Cross multiply
   1,059.47x = 1,461.81 × 746
4. Step 4: Simplify right side
   1,059.47x = 1,090,510.26
5. Step 5: Solve for x
   x = 1,090,510.26/1,059.47
6. Step 6: Final answer
   x = 1,029.30