Finding the Fourth Proportional to 2,056.80, 3,085.52 and 824.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,056.80 : 3,085.52 = 824.24 : x
2. Step 2: Convert to fraction form
   2,056.80/3,085.52 = 824.24/x
3. Step 3: Cross multiply
   2,056.80x = 3,085.52 × 824.24
4. Step 4: Simplify right side
   2,056.80x = 2,543,209.00
5. Step 5: Solve for x
   x = 2,543,209.00/2,056.80
6. Step 6: Final answer
   x = 1,236.49