Finding the Fourth Proportional to 4,796.58, 7,182.63 and 3,824.10

Step by Step Solution

1. Step 1: Write the proportion equation
   4,796.58 : 7,182.63 = 3,824.10 : x
2. Step 2: Convert to fraction form
   4,796.58/7,182.63 = 3,824.10/x
3. Step 3: Cross multiply
   4,796.58x = 7,182.63 × 3,824.10
4. Step 4: Simplify right side
   4,796.58x = 27,467,095.38
5. Step 5: Solve for x
   x = 27,467,095.38/4,796.58
6. Step 6: Final answer
   x = 5,726.39