Finding the Fourth Proportional to 9,914.66, 13,682.39 and 5,438.33

Step by Step Solution

1. Step 1: Write the proportion equation
   9,914.66 : 13,682.39 = 5,438.33 : x
2. Step 2: Convert to fraction form
   9,914.66/13,682.39 = 5,438.33/x
3. Step 3: Cross multiply
   9,914.66x = 13,682.39 × 5,438.33
4. Step 4: Simplify right side
   9,914.66x = 74,409,307.71
5. Step 5: Solve for x
   x = 74,409,307.71/9,914.66
6. Step 6: Final answer
   x = 7,504.98