Finding the Fourth Proportional to 9,738.09, 14,588.78 and 4,801.95

Step by Step Solution

1. Step 1: Write the proportion equation
   9,738.09 : 14,588.78 = 4,801.95 : x
2. Step 2: Convert to fraction form
   9,738.09/14,588.78 = 4,801.95/x
3. Step 3: Cross multiply
   9,738.09x = 14,588.78 × 4,801.95
4. Step 4: Simplify right side
   9,738.09x = 70,054,568.11
5. Step 5: Solve for x
   x = 70,054,568.11/9,738.09
6. Step 6: Final answer
   x = 7,193.87