Finding the Fourth Proportional to 5,925.33, 8,171.69 and 3,827.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,925.33 : 8,171.69 = 3,827.25 : x
2. Step 2: Convert to fraction form
   5,925.33/8,171.69 = 3,827.25/x
3. Step 3: Cross multiply
   5,925.33x = 8,171.69 × 3,827.25
4. Step 4: Simplify right side
   5,925.33x = 31,275,081.42
5. Step 5: Solve for x
   x = 31,275,081.42/5,925.33
6. Step 6: Final answer
   x = 5,278.20