Finding the Fourth Proportional to 9,208.50, 13,802.00 and 3,942.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,208.50 : 13,802.00 = 3,942.02 : x
2. Step 2: Convert to fraction form
   9,208.50/13,802.00 = 3,942.02/x
3. Step 3: Cross multiply
   9,208.50x = 13,802.00 × 3,942.02
4. Step 4: Simplify right side
   9,208.50x = 54,407,671.32
5. Step 5: Solve for x
   x = 54,407,671.32/9,208.50
6. Step 6: Final answer
   x = 5,908.42