Finding the Fourth Proportional to 5,432.66, 8,138.05 and 3,768.72

Step by Step Solution

1. Step 1: Write the proportion equation
   5,432.66 : 8,138.05 = 3,768.72 : x
2. Step 2: Convert to fraction form
   5,432.66/8,138.05 = 3,768.72/x
3. Step 3: Cross multiply
   5,432.66x = 8,138.05 × 3,768.72
4. Step 4: Simplify right side
   5,432.66x = 30,670,031.80
5. Step 5: Solve for x
   x = 30,670,031.80/5,432.66
6. Step 6: Final answer
   x = 5,645.49