Finding the Fourth Proportional to 23,828.24, 35,742.61 and 7,188.41

Step by Step Solution

1. Step 1: Write the proportion equation
   23,828.24 : 35,742.61 = 7,188.41 : x
2. Step 2: Convert to fraction form
   23,828.24/35,742.61 = 7,188.41/x
3. Step 3: Cross multiply
   23,828.24x = 35,742.61 × 7,188.41
4. Step 4: Simplify right side
   23,828.24x = 256,932,499.21
5. Step 5: Solve for x
   x = 256,932,499.21/23,828.24
6. Step 6: Final answer
   x = 10,782.69