Finding the Fourth Proportional to 13,606.04, 18,777.42 and 7,638.10

Step by Step Solution

1. Step 1: Write the proportion equation
   13,606.04 : 18,777.42 = 7,638.10 : x
2. Step 2: Convert to fraction form
   13,606.04/18,777.42 = 7,638.10/x
3. Step 3: Cross multiply
   13,606.04x = 18,777.42 × 7,638.10
4. Step 4: Simplify right side
   13,606.04x = 143,423,764.76
5. Step 5: Solve for x
   x = 143,423,764.76/13,606.04
6. Step 6: Final answer
   x = 10,541.18