Finding the Fourth Proportional to 9,477.63, 14,218.07 and 5,315.85

Step by Step Solution

1. Step 1: Write the proportion equation
   9,477.63 : 14,218.07 = 5,315.85 : x
2. Step 2: Convert to fraction form
   9,477.63/14,218.07 = 5,315.85/x
3. Step 3: Cross multiply
   9,477.63x = 14,218.07 × 5,315.85
4. Step 4: Simplify right side
   9,477.63x = 75,581,100.83
5. Step 5: Solve for x
   x = 75,581,100.83/9,477.63
6. Step 6: Final answer
   x = 7,974.68