Finding the Fourth Proportional to 5,953.24, 8,213.10 and 3,828.46

Step by Step Solution

1. Step 1: Write the proportion equation
   5,953.24 : 8,213.10 = 3,828.46 : x
2. Step 2: Convert to fraction form
   5,953.24/8,213.10 = 3,828.46/x
3. Step 3: Cross multiply
   5,953.24x = 8,213.10 × 3,828.46
4. Step 4: Simplify right side
   5,953.24x = 31,443,524.83
5. Step 5: Solve for x
   x = 31,443,524.83/5,953.24
6. Step 6: Final answer
   x = 5,281.75