Finding the Fourth Proportional to 2,384.43, 3,575.77 and 824.03

Step by Step Solution

1. Step 1: Write the proportion equation
   2,384.43 : 3,575.77 = 824.03 : x
2. Step 2: Convert to fraction form
   2,384.43/3,575.77 = 824.03/x
3. Step 3: Cross multiply
   2,384.43x = 3,575.77 × 824.03
4. Step 4: Simplify right side
   2,384.43x = 2,946,548.63
5. Step 5: Solve for x
   x = 2,946,548.63/2,384.43
6. Step 6: Final answer
   x = 1,235.75