Finding the Fourth Proportional to 1,179.71, 1,624.46 and 806.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,179.71 : 1,624.46 = 806.05 : x
2. Step 2: Convert to fraction form
   1,179.71/1,624.46 = 806.05/x
3. Step 3: Cross multiply
   1,179.71x = 1,624.46 × 806.05
4. Step 4: Simplify right side
   1,179.71x = 1,309,393.98
5. Step 5: Solve for x
   x = 1,309,393.98/1,179.71
6. Step 6: Final answer
   x = 1,109.92