Finding the Fourth Proportional to 1,509.31, 2,082.81 and 846.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,509.31 : 2,082.81 = 846.15 : x
2. Step 2: Convert to fraction form
   1,509.31/2,082.81 = 846.15/x
3. Step 3: Cross multiply
   1,509.31x = 2,082.81 × 846.15
4. Step 4: Simplify right side
   1,509.31x = 1,762,365.04
5. Step 5: Solve for x
   x = 1,762,365.04/1,509.31
6. Step 6: Final answer
   x = 1,167.66