Finding the Fourth Proportional to 9,814.73, 14,718.74 and 5,310.86

Step by Step Solution

1. Step 1: Write the proportion equation
   9,814.73 : 14,718.74 = 5,310.86 : x
2. Step 2: Convert to fraction form
   9,814.73/14,718.74 = 5,310.86/x
3. Step 3: Cross multiply
   9,814.73x = 14,718.74 × 5,310.86
4. Step 4: Simplify right side
   9,814.73x = 78,169,067.37
5. Step 5: Solve for x
   x = 78,169,067.37/9,814.73
6. Step 6: Final answer
   x = 7,964.47