Finding the Fourth Proportional to 6,981.98, 9,635.01 and 3,838.10

Step by Step Solution

1. Step 1: Write the proportion equation
   6,981.98 : 9,635.01 = 3,838.10 : x
2. Step 2: Convert to fraction form
   6,981.98/9,635.01 = 3,838.10/x
3. Step 3: Cross multiply
   6,981.98x = 9,635.01 × 3,838.10
4. Step 4: Simplify right side
   6,981.98x = 36,980,131.88
5. Step 5: Solve for x
   x = 36,980,131.88/6,981.98
6. Step 6: Final answer
   x = 5,296.51