Finding the Fourth Proportional to 5,923.84, 8,148.72 and 5,684.08

Step by Step Solution

1. Step 1: Write the proportion equation
   5,923.84 : 8,148.72 = 5,684.08 : x
2. Step 2: Convert to fraction form
   5,923.84/8,148.72 = 5,684.08/x
3. Step 3: Cross multiply
   5,923.84x = 8,148.72 × 5,684.08
4. Step 4: Simplify right side
   5,923.84x = 46,317,976.38
5. Step 5: Solve for x
   x = 46,317,976.38/5,923.84
6. Step 6: Final answer
   x = 7,818.91