Finding the Fourth Proportional to 10,419.53, 14,381.00 and 5,942.85

Step by Step Solution

1. Step 1: Write the proportion equation
   10,419.53 : 14,381.00 = 5,942.85 : x
2. Step 2: Convert to fraction form
   10,419.53/14,381.00 = 5,942.85/x
3. Step 3: Cross multiply
   10,419.53x = 14,381.00 × 5,942.85
4. Step 4: Simplify right side
   10,419.53x = 85,464,096.14
5. Step 5: Solve for x
   x = 85,464,096.14/10,419.53
6. Step 6: Final answer
   x = 8,202.30