Finding the Fourth Proportional to 5,931.63, 8,185.78 and 3,839.40

Step by Step Solution

1. Step 1: Write the proportion equation
   5,931.63 : 8,185.78 = 3,839.40 : x
2. Step 2: Convert to fraction form
   5,931.63/8,185.78 = 3,839.40/x
3. Step 3: Cross multiply
   5,931.63x = 8,185.78 × 3,839.40
4. Step 4: Simplify right side
   5,931.63x = 31,428,442.80
5. Step 5: Solve for x
   x = 31,428,442.80/5,931.63
6. Step 6: Final answer
   x = 5,298.45