Finding the Fourth Proportional to 9,738.09, 14,596.61 and 3,888.27

Step by Step Solution

1. Step 1: Write the proportion equation
   9,738.09 : 14,596.61 = 3,888.27 : x
2. Step 2: Convert to fraction form
   9,738.09/14,596.61 = 3,888.27/x
3. Step 3: Cross multiply
   9,738.09x = 14,596.61 × 3,888.27
4. Step 4: Simplify right side
   9,738.09x = 56,755,541.32
5. Step 5: Solve for x
   x = 56,755,541.32/9,738.09
6. Step 6: Final answer
   x = 5,828.20