Finding the Fourth Proportional to 5,381.32, 8,077.45 and 3,823.09

Step by Step Solution

1. Step 1: Write the proportion equation
   5,381.32 : 8,077.45 = 3,823.09 : x
2. Step 2: Convert to fraction form
   5,381.32/8,077.45 = 3,823.09/x
3. Step 3: Cross multiply
   5,381.32x = 8,077.45 × 3,823.09
4. Step 4: Simplify right side
   5,381.32x = 30,880,818.32
5. Step 5: Solve for x
   x = 30,880,818.32/5,381.32
6. Step 6: Final answer
   x = 5,738.52