Finding the Fourth Proportional to 1,509.30, 2,082.78 and 846.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,509.30 : 2,082.78 = 846.18 : x
2. Step 2: Convert to fraction form
   1,509.30/2,082.78 = 846.18/x
3. Step 3: Cross multiply
   1,509.30x = 2,082.78 × 846.18
4. Step 4: Simplify right side
   1,509.30x = 1,762,406.78
5. Step 5: Solve for x
   x = 1,762,406.78/1,509.30
6. Step 6: Final answer
   x = 1,167.70