Finding the Fourth Proportional to 7,038.18, 9,712.83 and 3,894.42

Step by Step Solution

1. Step 1: Write the proportion equation
   7,038.18 : 9,712.83 = 3,894.42 : x
2. Step 2: Convert to fraction form
   7,038.18/9,712.83 = 3,894.42/x
3. Step 3: Cross multiply
   7,038.18x = 9,712.83 × 3,894.42
4. Step 4: Simplify right side
   7,038.18x = 37,825,839.41
5. Step 5: Solve for x
   x = 37,825,839.41/7,038.18
6. Step 6: Final answer
   x = 5,374.38