Finding the Fourth Proportional to 10,699.73, 16,042.76 and 5,142.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,699.73 : 16,042.76 = 5,142.02 : x
2. Step 2: Convert to fraction form
   10,699.73/16,042.76 = 5,142.02/x
3. Step 3: Cross multiply
   10,699.73x = 16,042.76 × 5,142.02
4. Step 4: Simplify right side
   10,699.73x = 82,492,106.13
5. Step 5: Solve for x
   x = 82,492,106.13/10,699.73
6. Step 6: Final answer
   x = 7,709.74