Finding the Fourth Proportional to 1,822.72, 2,731.52 and 846.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,822.72 : 2,731.52 = 846.40 : x
2. Step 2: Convert to fraction form
   1,822.72/2,731.52 = 846.40/x
3. Step 3: Cross multiply
   1,822.72x = 2,731.52 × 846.40
4. Step 4: Simplify right side
   1,822.72x = 2,311,958.53
5. Step 5: Solve for x
   x = 2,311,958.53/1,822.72
6. Step 6: Final answer
   x = 1,268.41