Finding the Fourth Proportional to 11,005.95, 16,507 and 5,082.33

Step by Step Solution

1. Step 1: Write the proportion equation
   11,005.95 : 16,507 = 5,082.33 : x
2. Step 2: Convert to fraction form
   11,005.95/16,507 = 5,082.33/x
3. Step 3: Cross multiply
   11,005.95x = 16,507 × 5,082.33
4. Step 4: Simplify right side
   11,005.95x = 83,894,021.31
5. Step 5: Solve for x
   x = 83,894,021.31/11,005.95
6. Step 6: Final answer
   x = 7,622.61