Finding the Fourth Proportional to 5,830.84, 8,046.56 and 3,178.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,830.84 : 8,046.56 = 3,178.25 : x
2. Step 2: Convert to fraction form
   5,830.84/8,046.56 = 3,178.25/x
3. Step 3: Cross multiply
   5,830.84x = 8,046.56 × 3,178.25
4. Step 4: Simplify right side
   5,830.84x = 25,574,004.59
5. Step 5: Solve for x
   x = 25,574,004.59/5,830.84
6. Step 6: Final answer
   x = 4,385.99