Finding the Fourth Proportional to 1,509.30, 2,082.69 and 846.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,509.30 : 2,082.69 = 846.09 : x
2. Step 2: Convert to fraction form
   1,509.30/2,082.69 = 846.09/x
3. Step 3: Cross multiply
   1,509.30x = 2,082.69 × 846.09
4. Step 4: Simplify right side
   1,509.30x = 1,762,143.18
5. Step 5: Solve for x
   x = 1,762,143.18/1,509.30
6. Step 6: Final answer
   x = 1,167.52