Finding the Fourth Proportional to 7,462.94, 10,298.61 and 4,105.76

Step by Step Solution

1. Step 1: Write the proportion equation
   7,462.94 : 10,298.61 = 4,105.76 : x
2. Step 2: Convert to fraction form
   7,462.94/10,298.61 = 4,105.76/x
3. Step 3: Cross multiply
   7,462.94x = 10,298.61 × 4,105.76
4. Step 4: Simplify right side
   7,462.94x = 42,283,569.50
5. Step 5: Solve for x
   x = 42,283,569.50/7,462.94
6. Step 6: Final answer
   x = 5,665.81