Finding the Fourth Proportional to 9,914.17, 13,681.97 and 5,438.09

Step by Step Solution

1. Step 1: Write the proportion equation
   9,914.17 : 13,681.97 = 5,438.09 : x
2. Step 2: Convert to fraction form
   9,914.17/13,681.97 = 5,438.09/x
3. Step 3: Cross multiply
   9,914.17x = 13,681.97 × 5,438.09
4. Step 4: Simplify right side
   9,914.17x = 74,403,784.24
5. Step 5: Solve for x
   x = 74,403,784.24/9,914.17
6. Step 6: Final answer
   x = 7,504.79