Finding the Fourth Proportional to 9,416.76, 14,111.49 and 5,200.83

Step by Step Solution

1. Step 1: Write the proportion equation
   9,416.76 : 14,111.49 = 5,200.83 : x
2. Step 2: Convert to fraction form
   9,416.76/14,111.49 = 5,200.83/x
3. Step 3: Cross multiply
   9,416.76x = 14,111.49 × 5,200.83
4. Step 4: Simplify right side
   9,416.76x = 73,391,460.54
5. Step 5: Solve for x
   x = 73,391,460.54/9,416.76
6. Step 6: Final answer
   x = 7,793.71