Finding the Fourth Proportional to 9,685.37, 14,538.99 and 3,846.08

Step by Step Solution

1. Step 1: Write the proportion equation
   9,685.37 : 14,538.99 = 3,846.08 : x
2. Step 2: Convert to fraction form
   9,685.37/14,538.99 = 3,846.08/x
3. Step 3: Cross multiply
   9,685.37x = 14,538.99 × 3,846.08
4. Step 4: Simplify right side
   9,685.37x = 55,918,045.96
5. Step 5: Solve for x
   x = 55,918,045.96/9,685.37
6. Step 6: Final answer
   x = 5,773.46