Finding the Fourth Proportional to 5,926.14, 8,178.06 and 3,830.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,926.14 : 8,178.06 = 3,830.25 : x
2. Step 2: Convert to fraction form
   5,926.14/8,178.06 = 3,830.25/x
3. Step 3: Cross multiply
   5,926.14x = 8,178.06 × 3,830.25
4. Step 4: Simplify right side
   5,926.14x = 31,324,014.32
5. Step 5: Solve for x
   x = 31,324,014.32/5,926.14
6. Step 6: Final answer
   x = 5,285.74