Finding the Fourth Proportional to 7,002.89, 9,663.86 and 3,816.21

Step by Step Solution

1. Step 1: Write the proportion equation
   7,002.89 : 9,663.86 = 3,816.21 : x
2. Step 2: Convert to fraction form
   7,002.89/9,663.86 = 3,816.21/x
3. Step 3: Cross multiply
   7,002.89x = 9,663.86 × 3,816.21
4. Step 4: Simplify right side
   7,002.89x = 36,879,310.59
5. Step 5: Solve for x
   x = 36,879,310.59/7,002.89
6. Step 6: Final answer
   x = 5,266.30