Finding the Fourth Proportional to 2,384.78, 3,577.35 and 824.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,384.78 : 3,577.35 = 824.72 : x
2. Step 2: Convert to fraction form
   2,384.78/3,577.35 = 824.72/x
3. Step 3: Cross multiply
   2,384.78x = 3,577.35 × 824.72
4. Step 4: Simplify right side
   2,384.78x = 2,950,312.09
5. Step 5: Solve for x
   x = 2,950,312.09/2,384.78
6. Step 6: Final answer
   x = 1,237.14