Finding the Fourth Proportional to 6,164.88, 8,507.27 and 3,778.82

Step by Step Solution

1. Step 1: Write the proportion equation
   6,164.88 : 8,507.27 = 3,778.82 : x
2. Step 2: Convert to fraction form
   6,164.88/8,507.27 = 3,778.82/x
3. Step 3: Cross multiply
   6,164.88x = 8,507.27 × 3,778.82
4. Step 4: Simplify right side
   6,164.88x = 32,147,380.59
5. Step 5: Solve for x
   x = 32,147,380.59/6,164.88
6. Step 6: Final answer
   x = 5,214.60