Finding the Fourth Proportional to 1,059.34, 1,586.94 and 729.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,059.34 : 1,586.94 = 729.50 : x
2. Step 2: Convert to fraction form
   1,059.34/1,586.94 = 729.50/x
3. Step 3: Cross multiply
   1,059.34x = 1,586.94 × 729.50
4. Step 4: Simplify right side
   1,059.34x = 1,157,672.73
5. Step 5: Solve for x
   x = 1,157,672.73/1,059.34
6. Step 6: Final answer
   x = 1,092.82