Finding the Fourth Proportional to 9,914.81, 13,681.58 and 5,438.52

Step by Step Solution

1. Step 1: Write the proportion equation
   9,914.81 : 13,681.58 = 5,438.52 : x
2. Step 2: Convert to fraction form
   9,914.81/13,681.58 = 5,438.52/x
3. Step 3: Cross multiply
   9,914.81x = 13,681.58 × 5,438.52
4. Step 4: Simplify right side
   9,914.81x = 74,407,519.27
5. Step 5: Solve for x
   x = 74,407,519.27/9,914.81
6. Step 6: Final answer
   x = 7,504.69