Finding the Fourth Proportional to 9,839.94, 14,759.83 and 4,216.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,839.94 : 14,759.83 = 4,216.78 : x
2. Step 2: Convert to fraction form
   9,839.94/14,759.83 = 4,216.78/x
3. Step 3: Cross multiply
   9,839.94x = 14,759.83 × 4,216.78
4. Step 4: Simplify right side
   9,839.94x = 62,238,955.95
5. Step 5: Solve for x
   x = 62,238,955.95/9,839.94
6. Step 6: Final answer
   x = 6,325.14