Finding the Fourth Proportional to 11,646.05, 16,082.22 and 7,398.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,646.05 : 16,082.22 = 7,398.50 : x
2. Step 2: Convert to fraction form
   11,646.05/16,082.22 = 7,398.50/x
3. Step 3: Cross multiply
   11,646.05x = 16,082.22 × 7,398.50
4. Step 4: Simplify right side
   11,646.05x = 118,984,224.26
5. Step 5: Solve for x
   x = 118,984,224.26/11,646.05
6. Step 6: Final answer
   x = 10,216.71