Finding the Fourth Proportional to 9,914.54, 13,681.85 and 5,438.21

Step by Step Solution

1. Step 1: Write the proportion equation
   9,914.54 : 13,681.85 = 5,438.21 : x
2. Step 2: Convert to fraction form
   9,914.54/13,681.85 = 5,438.21/x
3. Step 3: Cross multiply
   9,914.54x = 13,681.85 × 5,438.21
4. Step 4: Simplify right side
   9,914.54x = 74,404,677.89
5. Step 5: Solve for x
   x = 74,404,677.89/9,914.54
6. Step 6: Final answer
   x = 7,504.61