Finding the Fourth Proportional to 9,865.37, 13,614.56 and 5,389.40

Step by Step Solution

1. Step 1: Write the proportion equation
   9,865.37 : 13,614.56 = 5,389.40 : x
2. Step 2: Convert to fraction form
   9,865.37/13,614.56 = 5,389.40/x
3. Step 3: Cross multiply
   9,865.37x = 13,614.56 × 5,389.40
4. Step 4: Simplify right side
   9,865.37x = 73,374,214.64
5. Step 5: Solve for x
   x = 73,374,214.64/9,865.37
6. Step 6: Final answer
   x = 7,437.56