Finding the Fourth Proportional to 9,683.86, 14,529.03 and 3,842.14

Step by Step Solution

1. Step 1: Write the proportion equation
   9,683.86 : 14,529.03 = 3,842.14 : x
2. Step 2: Convert to fraction form
   9,683.86/14,529.03 = 3,842.14/x
3. Step 3: Cross multiply
   9,683.86x = 14,529.03 × 3,842.14
4. Step 4: Simplify right side
   9,683.86x = 55,822,567.32
5. Step 5: Solve for x
   x = 55,822,567.32/9,683.86
6. Step 6: Final answer
   x = 5,764.50