Finding the Fourth Proportional to 7,462.71, 10,298.52 and 4,105.57

Step by Step Solution

1. Step 1: Write the proportion equation
   7,462.71 : 10,298.52 = 4,105.57 : x
2. Step 2: Convert to fraction form
   7,462.71/10,298.52 = 4,105.57/x
3. Step 3: Cross multiply
   7,462.71x = 10,298.52 × 4,105.57
4. Step 4: Simplify right side
   7,462.71x = 42,281,294.76
5. Step 5: Solve for x
   x = 42,281,294.76/7,462.71
6. Step 6: Final answer
   x = 5,665.68