Finding the Fourth Proportional to 9,914.56, 13,681.86 and 5,438.27

Step by Step Solution

1. Step 1: Write the proportion equation
   9,914.56 : 13,681.86 = 5,438.27 : x
2. Step 2: Convert to fraction form
   9,914.56/13,681.86 = 5,438.27/x
3. Step 3: Cross multiply
   9,914.56x = 13,681.86 × 5,438.27
4. Step 4: Simplify right side
   9,914.56x = 74,405,621.59
5. Step 5: Solve for x
   x = 74,405,621.59/9,914.56
6. Step 6: Final answer
   x = 7,504.68