Finding the Fourth Proportional to 9,684.77, 14,514.96 and 5,242.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,684.77 : 14,514.96 = 5,242.25 : x
2. Step 2: Convert to fraction form
   9,684.77/14,514.96 = 5,242.25/x
3. Step 3: Cross multiply
   9,684.77x = 14,514.96 × 5,242.25
4. Step 4: Simplify right side
   9,684.77x = 76,091,105.01
5. Step 5: Solve for x
   x = 76,091,105.01/9,684.77
6. Step 6: Final answer
   x = 7,856.78