Finding the Fourth Proportional to 13,026.31, 17,976.31 and 7,647.69

Step by Step Solution

1. Step 1: Write the proportion equation
   13,026.31 : 17,976.31 = 7,647.69 : x
2. Step 2: Convert to fraction form
   13,026.31/17,976.31 = 7,647.69/x
3. Step 3: Cross multiply
   13,026.31x = 17,976.31 × 7,647.69
4. Step 4: Simplify right side
   13,026.31x = 137,477,246.22
5. Step 5: Solve for x
   x = 137,477,246.22/13,026.31
6. Step 6: Final answer
   x = 10,553.81