Finding the Fourth Proportional to 9,877.68, 13,630.56 and 5,685.84

Step by Step Solution

1. Step 1: Write the proportion equation
   9,877.68 : 13,630.56 = 5,685.84 : x
2. Step 2: Convert to fraction form
   9,877.68/13,630.56 = 5,685.84/x
3. Step 3: Cross multiply
   9,877.68x = 13,630.56 × 5,685.84
4. Step 4: Simplify right side
   9,877.68x = 77,501,183.27
5. Step 5: Solve for x
   x = 77,501,183.27/9,877.68
6. Step 6: Final answer
   x = 7,846.09