Finding the Fourth Proportional to 10,420.14, 14,358.50 and 7,429.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,420.14 : 14,358.50 = 7,429.62 : x
2. Step 2: Convert to fraction form
   10,420.14/14,358.50 = 7,429.62/x
3. Step 3: Cross multiply
   10,420.14x = 14,358.50 × 7,429.62
4. Step 4: Simplify right side
   10,420.14x = 106,678,198.77
5. Step 5: Solve for x
   x = 106,678,198.77/10,420.14
6. Step 6: Final answer
   x = 10,237.69