Finding the Fourth Proportional to 9,914.89, 13,682.74 and 5,438.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,914.89 : 13,682.74 = 5,438.38 : x
2. Step 2: Convert to fraction form
   9,914.89/13,682.74 = 5,438.38/x
3. Step 3: Cross multiply
   9,914.89x = 13,682.74 × 5,438.38
4. Step 4: Simplify right side
   9,914.89x = 74,411,939.56
5. Step 5: Solve for x
   x = 74,411,939.56/9,914.89
6. Step 6: Final answer
   x = 7,505.07