Finding the Fourth Proportional to 9,477.14, 14,199.98 and 5,768.15

Step by Step Solution

1. Step 1: Write the proportion equation
   9,477.14 : 14,199.98 = 5,768.15 : x
2. Step 2: Convert to fraction form
   9,477.14/14,199.98 = 5,768.15/x
3. Step 3: Cross multiply
   9,477.14x = 14,199.98 × 5,768.15
4. Step 4: Simplify right side
   9,477.14x = 81,907,514.80
5. Step 5: Solve for x
   x = 81,907,514.80/9,477.14
6. Step 6: Final answer
   x = 8,642.65