Finding the Fourth Proportional to 14,365.71, 21,538.17 and 9,674.10

Step by Step Solution

1. Step 1: Write the proportion equation
   14,365.71 : 21,538.17 = 9,674.10 : x
2. Step 2: Convert to fraction form
   14,365.71/21,538.17 = 9,674.10/x
3. Step 3: Cross multiply
   14,365.71x = 21,538.17 × 9,674.10
4. Step 4: Simplify right side
   14,365.71x = 208,362,410.40
5. Step 5: Solve for x
   x = 208,362,410.40/14,365.71
6. Step 6: Final answer
   x = 14,504.15