Finding the Fourth Proportional to 2,772.42, 4,158.86 and 824.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,772.42 : 4,158.86 = 824.63 : x
2. Step 2: Convert to fraction form
   2,772.42/4,158.86 = 824.63/x
3. Step 3: Cross multiply
   2,772.42x = 4,158.86 × 824.63
4. Step 4: Simplify right side
   2,772.42x = 3,429,520.72
5. Step 5: Solve for x
   x = 3,429,520.72/2,772.42
6. Step 6: Final answer
   x = 1,237.01