Finding the Fourth Proportional to 10,683.18, 14,742.42 and 5,902.85

Step by Step Solution

1. Step 1: Write the proportion equation
   10,683.18 : 14,742.42 = 5,902.85 : x
2. Step 2: Convert to fraction form
   10,683.18/14,742.42 = 5,902.85/x
3. Step 3: Cross multiply
   10,683.18x = 14,742.42 × 5,902.85
4. Step 4: Simplify right side
   10,683.18x = 87,022,220.18
5. Step 5: Solve for x
   x = 87,022,220.18/10,683.18
6. Step 6: Final answer
   x = 8,145.72