Finding the Fourth Proportional to 10,695.56, 16,036.50 and 5,137.84

Step by Step Solution

1. Step 1: Write the proportion equation
   10,695.56 : 16,036.50 = 5,137.84 : x
2. Step 2: Convert to fraction form
   10,695.56/16,036.50 = 5,137.84/x
3. Step 3: Cross multiply
   10,695.56x = 16,036.50 × 5,137.84
4. Step 4: Simplify right side
   10,695.56x = 82,393,021.27
5. Step 5: Solve for x
   x = 82,393,021.27/10,695.56
6. Step 6: Final answer
   x = 7,703.48