Finding the Fourth Proportional to 1,214.31, 1,820.73 and 824.79

Step by Step Solution

1. Step 1: Write the proportion equation
   1,214.31 : 1,820.73 = 824.79 : x
2. Step 2: Convert to fraction form
   1,214.31/1,820.73 = 824.79/x
3. Step 3: Cross multiply
   1,214.31x = 1,820.73 × 824.79
4. Step 4: Simplify right side
   1,214.31x = 1,501,719.90
5. Step 5: Solve for x
   x = 1,501,719.90/1,214.31
6. Step 6: Final answer
   x = 1,236.69