Finding the Fourth Proportional to 1,509.83, 2,083.55 and 846.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,509.83 : 2,083.55 = 846.71 : x
2. Step 2: Convert to fraction form
   1,509.83/2,083.55 = 846.71/x
3. Step 3: Cross multiply
   1,509.83x = 2,083.55 × 846.71
4. Step 4: Simplify right side
   1,509.83x = 1,764,162.62
5. Step 5: Solve for x
   x = 1,764,162.62/1,509.83
6. Step 6: Final answer
   x = 1,168.45