Finding the Fourth Proportional to 11,824.50, 16,300.86 and 9,302.23

Step by Step Solution

1. Step 1: Write the proportion equation
   11,824.50 : 16,300.86 = 9,302.23 : x
2. Step 2: Convert to fraction form
   11,824.50/16,300.86 = 9,302.23/x
3. Step 3: Cross multiply
   11,824.50x = 16,300.86 × 9,302.23
4. Step 4: Simplify right side
   11,824.50x = 151,634,399.86
5. Step 5: Solve for x
   x = 151,634,399.86/11,824.50
6. Step 6: Final answer
   x = 12,823.74