Finding the Fourth Proportional to 2,059.23, 3,086.55 and 824.93

Step by Step Solution

1. Step 1: Write the proportion equation
   2,059.23 : 3,086.55 = 824.93 : x
2. Step 2: Convert to fraction form
   2,059.23/3,086.55 = 824.93/x
3. Step 3: Cross multiply
   2,059.23x = 3,086.55 × 824.93
4. Step 4: Simplify right side
   2,059.23x = 2,546,187.69
5. Step 5: Solve for x
   x = 2,546,187.69/2,059.23
6. Step 6: Final answer
   x = 1,236.48