Finding the Fourth Proportional to 9,582.13, 14,364.69 and 3,742.84

Step by Step Solution

1. Step 1: Write the proportion equation
   9,582.13 : 14,364.69 = 3,742.84 : x
2. Step 2: Convert to fraction form
   9,582.13/14,364.69 = 3,742.84/x
3. Step 3: Cross multiply
   9,582.13x = 14,364.69 × 3,742.84
4. Step 4: Simplify right side
   9,582.13x = 53,764,736.32
5. Step 5: Solve for x
   x = 53,764,736.32/9,582.13
6. Step 6: Final answer
   x = 5,610.94