Finding the Fourth Proportional to 12,910.14, 19,364.13 and 5,116.86

Step by Step Solution

1. Step 1: Write the proportion equation
   12,910.14 : 19,364.13 = 5,116.86 : x
2. Step 2: Convert to fraction form
   12,910.14/19,364.13 = 5,116.86/x
3. Step 3: Cross multiply
   12,910.14x = 19,364.13 × 5,116.86
4. Step 4: Simplify right side
   12,910.14x = 99,083,542.23
5. Step 5: Solve for x
   x = 99,083,542.23/12,910.14
6. Step 6: Final answer
   x = 7,674.86