Finding the Fourth Proportional to 2,384.93, 3,576.52 and 824.53

Step by Step Solution

1. Step 1: Write the proportion equation
   2,384.93 : 3,576.52 = 824.53 : x
2. Step 2: Convert to fraction form
   2,384.93/3,576.52 = 824.53/x
3. Step 3: Cross multiply
   2,384.93x = 3,576.52 × 824.53
4. Step 4: Simplify right side
   2,384.93x = 2,948,948.04
5. Step 5: Solve for x
   x = 2,948,948.04/2,384.93
6. Step 6: Final answer
   x = 1,236.49