Finding the Fourth Proportional to 1,059.01, 1,460.61 and 809.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,059.01 : 1,460.61 = 809.71 : x
2. Step 2: Convert to fraction form
   1,059.01/1,460.61 = 809.71/x
3. Step 3: Cross multiply
   1,059.01x = 1,460.61 × 809.71
4. Step 4: Simplify right side
   1,059.01x = 1,182,670.52
5. Step 5: Solve for x
   x = 1,182,670.52/1,059.01
6. Step 6: Final answer
   x = 1,116.77