Finding the Fourth Proportional to 5,462.74, 7,538.34 and 3,105.10

Step by Step Solution

1. Step 1: Write the proportion equation
   5,462.74 : 7,538.34 = 3,105.10 : x
2. Step 2: Convert to fraction form
   5,462.74/7,538.34 = 3,105.10/x
3. Step 3: Cross multiply
   5,462.74x = 7,538.34 × 3,105.10
4. Step 4: Simplify right side
   5,462.74x = 23,407,299.53
5. Step 5: Solve for x
   x = 23,407,299.53/5,462.74
6. Step 6: Final answer
   x = 4,284.90