Finding the Fourth Proportional to 2,057.30, 3,085.35 and 824.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,057.30 : 3,085.35 = 824.30 : x
2. Step 2: Convert to fraction form
   2,057.30/3,085.35 = 824.30/x
3. Step 3: Cross multiply
   2,057.30x = 3,085.35 × 824.30
4. Step 4: Simplify right side
   2,057.30x = 2,543,254.01
5. Step 5: Solve for x
   x = 2,543,254.01/2,057.30
6. Step 6: Final answer
   x = 1,236.21