Finding the Fourth Proportional to 2,772.32, 4,157.88 and 824.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,772.32 : 4,157.88 = 824.06 : x
2. Step 2: Convert to fraction form
   2,772.32/4,157.88 = 824.06/x
3. Step 3: Cross multiply
   2,772.32x = 4,157.88 × 824.06
4. Step 4: Simplify right side
   2,772.32x = 3,426,342.59
5. Step 5: Solve for x
   x = 3,426,342.59/2,772.32
6. Step 6: Final answer
   x = 1,235.91