Finding the Fourth Proportional to 9,975.48, 13,771.71 and 7,846.80

Step by Step Solution

1. Step 1: Write the proportion equation
   9,975.48 : 13,771.71 = 7,846.80 : x
2. Step 2: Convert to fraction form
   9,975.48/13,771.71 = 7,846.80/x
3. Step 3: Cross multiply
   9,975.48x = 13,771.71 × 7,846.80
4. Step 4: Simplify right side
   9,975.48x = 108,063,854.03
5. Step 5: Solve for x
   x = 108,063,854.03/9,975.48
6. Step 6: Final answer
   x = 10,832.95