Finding the Fourth Proportional to 7,462.75, 10,298.34 and 4,105.53

Step by Step Solution

1. Step 1: Write the proportion equation
   7,462.75 : 10,298.34 = 4,105.53 : x
2. Step 2: Convert to fraction form
   7,462.75/10,298.34 = 4,105.53/x
3. Step 3: Cross multiply
   7,462.75x = 10,298.34 × 4,105.53
4. Step 4: Simplify right side
   7,462.75x = 42,280,128.42
5. Step 5: Solve for x
   x = 42,280,128.42/7,462.75
6. Step 6: Final answer
   x = 5,665.49