Finding the Fourth Proportional to 10,692.88, 16,046.00 and 5,146.81

Step by Step Solution

1. Step 1: Write the proportion equation
   10,692.88 : 16,046.00 = 5,146.81 : x
2. Step 2: Convert to fraction form
   10,692.88/16,046.00 = 5,146.81/x
3. Step 3: Cross multiply
   10,692.88x = 16,046.00 × 5,146.81
4. Step 4: Simplify right side
   10,692.88x = 82,585,607.30
5. Step 5: Solve for x
   x = 82,585,607.30/10,692.88
6. Step 6: Final answer
   x = 7,723.42