Finding the Fourth Proportional to 9,469.78, 14,212.23 and 5,577.46

Step by Step Solution

1. Step 1: Write the proportion equation
   9,469.78 : 14,212.23 = 5,577.46 : x
2. Step 2: Convert to fraction form
   9,469.78/14,212.23 = 5,577.46/x
3. Step 3: Cross multiply
   9,469.78x = 14,212.23 × 5,577.46
4. Step 4: Simplify right side
   9,469.78x = 79,268,144.34
5. Step 5: Solve for x
   x = 79,268,144.34/9,469.78
6. Step 6: Final answer
   x = 8,370.64