Finding the Fourth Proportional to 9,354.86, 12,909.78 and 5,105.96

Step by Step Solution

1. Step 1: Write the proportion equation
   9,354.86 : 12,909.78 = 5,105.96 : x
2. Step 2: Convert to fraction form
   9,354.86/12,909.78 = 5,105.96/x
3. Step 3: Cross multiply
   9,354.86x = 12,909.78 × 5,105.96
4. Step 4: Simplify right side
   9,354.86x = 65,916,820.29
5. Step 5: Solve for x
   x = 65,916,820.29/9,354.86
6. Step 6: Final answer
   x = 7,046.26