Finding the Fourth Proportional to 9,785.96, 14,678.76 and 3,942.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,785.96 : 14,678.76 = 3,942.42 : x
2. Step 2: Convert to fraction form
   9,785.96/14,678.76 = 3,942.42/x
3. Step 3: Cross multiply
   9,785.96x = 14,678.76 × 3,942.42
4. Step 4: Simplify right side
   9,785.96x = 57,869,837.00
5. Step 5: Solve for x
   x = 57,869,837.00/9,785.96
6. Step 6: Final answer
   x = 5,913.56