Finding the Fourth Proportional to 9,763.86, 14,613.69 and 5,314.73

Step by Step Solution

1. Step 1: Write the proportion equation
   9,763.86 : 14,613.69 = 5,314.73 : x
2. Step 2: Convert to fraction form
   9,763.86/14,613.69 = 5,314.73/x
3. Step 3: Cross multiply
   9,763.86x = 14,613.69 × 5,314.73
4. Step 4: Simplify right side
   9,763.86x = 77,667,853.19
5. Step 5: Solve for x
   x = 77,667,853.19/9,763.86
6. Step 6: Final answer
   x = 7,954.63