Finding the Fourth Proportional to 9,582.10, 14,381.39 and 3,742.81

Step by Step Solution

1. Step 1: Write the proportion equation
   9,582.10 : 14,381.39 = 3,742.81 : x
2. Step 2: Convert to fraction form
   9,582.10/14,381.39 = 3,742.81/x
3. Step 3: Cross multiply
   9,582.10x = 14,381.39 × 3,742.81
4. Step 4: Simplify right side
   9,582.10x = 53,826,783.71
5. Step 5: Solve for x
   x = 53,826,783.71/9,582.10
6. Step 6: Final answer
   x = 5,617.43