Finding the Fourth Proportional to 9,770.40, 14,665.37 and 5,389.92

Step by Step Solution

1. Step 1: Write the proportion equation
   9,770.40 : 14,665.37 = 5,389.92 : x
2. Step 2: Convert to fraction form
   9,770.40/14,665.37 = 5,389.92/x
3. Step 3: Cross multiply
   9,770.40x = 14,665.37 × 5,389.92
4. Step 4: Simplify right side
   9,770.40x = 79,045,144.12
5. Step 5: Solve for x
   x = 79,045,144.12/9,770.40
6. Step 6: Final answer
   x = 8,090.27