Finding the Fourth Proportional to 9,914.68, 13,682.27 and 5,438.46

Step by Step Solution

1. Step 1: Write the proportion equation
   9,914.68 : 13,682.27 = 5,438.46 : x
2. Step 2: Convert to fraction form
   9,914.68/13,682.27 = 5,438.46/x
3. Step 3: Cross multiply
   9,914.68x = 13,682.27 × 5,438.46
4. Step 4: Simplify right side
   9,914.68x = 74,410,478.10
5. Step 5: Solve for x
   x = 74,410,478.10/9,914.68
6. Step 6: Final answer
   x = 7,505.08