Finding the Fourth Proportional to 7,538.28, 10,390.83 and 5,942.34

Step by Step Solution

1. Step 1: Write the proportion equation
   7,538.28 : 10,390.83 = 5,942.34 : x
2. Step 2: Convert to fraction form
   7,538.28/10,390.83 = 5,942.34/x
3. Step 3: Cross multiply
   7,538.28x = 10,390.83 × 5,942.34
4. Step 4: Simplify right side
   7,538.28x = 61,745,792.79
5. Step 5: Solve for x
   x = 61,745,792.79/7,538.28
6. Step 6: Final answer
   x = 8,190.97