Finding the Fourth Proportional to 7,346.50, 10,138.17 and 4,202.62

Step by Step Solution

1. Step 1: Write the proportion equation
   7,346.50 : 10,138.17 = 4,202.62 : x
2. Step 2: Convert to fraction form
   7,346.50/10,138.17 = 4,202.62/x
3. Step 3: Cross multiply
   7,346.50x = 10,138.17 × 4,202.62
4. Step 4: Simplify right side
   7,346.50x = 42,606,876.01
5. Step 5: Solve for x
   x = 42,606,876.01/7,346.50
6. Step 6: Final answer
   x = 5,799.62