Finding the Fourth Proportional to 11,595.82, 17,386.17 and 7,635.09

Step by Step Solution

1. Step 1: Write the proportion equation
   11,595.82 : 17,386.17 = 7,635.09 : x
2. Step 2: Convert to fraction form
   11,595.82/17,386.17 = 7,635.09/x
3. Step 3: Cross multiply
   11,595.82x = 17,386.17 × 7,635.09
4. Step 4: Simplify right side
   11,595.82x = 132,744,972.71
5. Step 5: Solve for x
   x = 132,744,972.71/11,595.82
6. Step 6: Final answer
   x = 11,447.66