Finding the Fourth Proportional to 5,123.82, 7,683.48 and 2,002.17

Step by Step Solution

1. Step 1: Write the proportion equation
   5,123.82 : 7,683.48 = 2,002.17 : x
2. Step 2: Convert to fraction form
   5,123.82/7,683.48 = 2,002.17/x
3. Step 3: Cross multiply
   5,123.82x = 7,683.48 × 2,002.17
4. Step 4: Simplify right side
   5,123.82x = 15,383,633.15
5. Step 5: Solve for x
   x = 15,383,633.15/5,123.82
6. Step 6: Final answer
   x = 3,002.38