Finding the Fourth Proportional to 7,638.42, 10,462.02 and 7,190.10

Step by Step Solution

1. Step 1: Write the proportion equation
   7,638.42 : 10,462.02 = 7,190.10 : x
2. Step 2: Convert to fraction form
   7,638.42/10,462.02 = 7,190.10/x
3. Step 3: Cross multiply
   7,638.42x = 10,462.02 × 7,190.10
4. Step 4: Simplify right side
   7,638.42x = 75,222,970.00
5. Step 5: Solve for x
   x = 75,222,970.00/7,638.42
6. Step 6: Final answer
   x = 9,847.98