Finding the Fourth Proportional to 2,772.34, 4,157.80 and 824.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,772.34 : 4,157.80 = 824.10 : x
2. Step 2: Convert to fraction form
   2,772.34/4,157.80 = 824.10/x
3. Step 3: Cross multiply
   2,772.34x = 4,157.80 × 824.10
4. Step 4: Simplify right side
   2,772.34x = 3,426,442.98
5. Step 5: Solve for x
   x = 3,426,442.98/2,772.34
6. Step 6: Final answer
   x = 1,235.94