Finding the Fourth Proportional to 1,215.83, 1,820.16 and 824.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,215.83 : 1,820.16 = 824.81 : x
2. Step 2: Convert to fraction form
   1,215.83/1,820.16 = 824.81/x
3. Step 3: Cross multiply
   1,215.83x = 1,820.16 × 824.81
4. Step 4: Simplify right side
   1,215.83x = 1,501,286.17
5. Step 5: Solve for x
   x = 1,501,286.17/1,215.83
6. Step 6: Final answer
   x = 1,234.78