Finding the Fourth Proportional to 9,589.17, 14,381.46 and 3,664.83

Step by Step Solution

1. Step 1: Write the proportion equation
   9,589.17 : 14,381.46 = 3,664.83 : x
2. Step 2: Convert to fraction form
   9,589.17/14,381.46 = 3,664.83/x
3. Step 3: Cross multiply
   9,589.17x = 14,381.46 × 3,664.83
4. Step 4: Simplify right side
   9,589.17x = 52,705,606.05
5. Step 5: Solve for x
   x = 52,705,606.05/9,589.17
6. Step 6: Final answer
   x = 5,496.37