Finding the Fourth Proportional to 7,021.11, 9,688.98 and 3,834.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,021.11 : 9,688.98 = 3,834.50 : x
2. Step 2: Convert to fraction form
   7,021.11/9,688.98 = 3,834.50/x
3. Step 3: Cross multiply
   7,021.11x = 9,688.98 × 3,834.50
4. Step 4: Simplify right side
   7,021.11x = 37,152,345.37
5. Step 5: Solve for x
   x = 37,152,345.37/7,021.11
6. Step 6: Final answer
   x = 5,291.52