Finding the Fourth Proportional to 12,674.10, 17,488.37 and 7,637.30

Step by Step Solution

1. Step 1: Write the proportion equation
   12,674.10 : 17,488.37 = 7,637.30 : x
2. Step 2: Convert to fraction form
   12,674.10/17,488.37 = 7,637.30/x
3. Step 3: Cross multiply
   12,674.10x = 17,488.37 × 7,637.30
4. Step 4: Simplify right side
   12,674.10x = 133,563,928.20
5. Step 5: Solve for x
   x = 133,563,928.20/12,674.10
6. Step 6: Final answer
   x = 10,538.34