Finding the Fourth Proportional to 9,471.78, 14,211.32 and 3,627.05

Step by Step Solution

1. Step 1: Write the proportion equation
   9,471.78 : 14,211.32 = 3,627.05 : x
2. Step 2: Convert to fraction form
   9,471.78/14,211.32 = 3,627.05/x
3. Step 3: Cross multiply
   9,471.78x = 14,211.32 × 3,627.05
4. Step 4: Simplify right side
   9,471.78x = 51,545,079.01
5. Step 5: Solve for x
   x = 51,545,079.01/9,471.78
6. Step 6: Final answer
   x = 5,441.96