Finding the Fourth Proportional to 11,823.71, 16,315.63 and 7,567.29

Step by Step Solution

1. Step 1: Write the proportion equation
   11,823.71 : 16,315.63 = 7,567.29 : x
2. Step 2: Convert to fraction form
   11,823.71/16,315.63 = 7,567.29/x
3. Step 3: Cross multiply
   11,823.71x = 16,315.63 × 7,567.29
4. Step 4: Simplify right side
   11,823.71x = 123,465,084.82
5. Step 5: Solve for x
   x = 123,465,084.82/11,823.71
6. Step 6: Final answer
   x = 10,442.17