Finding the Fourth Proportional to 7,002.14, 9,663.54 and 3,858.92

Step by Step Solution

1. Step 1: Write the proportion equation
   7,002.14 : 9,663.54 = 3,858.92 : x
2. Step 2: Convert to fraction form
   7,002.14/9,663.54 = 3,858.92/x
3. Step 3: Cross multiply
   7,002.14x = 9,663.54 × 3,858.92
4. Step 4: Simplify right side
   7,002.14x = 37,290,827.78
5. Step 5: Solve for x
   x = 37,290,827.78/7,002.14
6. Step 6: Final answer
   x = 5,325.63