Finding the Fourth Proportional to 11,596.07, 17,386.54 and 7,635.34

Step by Step Solution

1. Step 1: Write the proportion equation
   11,596.07 : 17,386.54 = 7,635.34 : x
2. Step 2: Convert to fraction form
   11,596.07/17,386.54 = 7,635.34/x
3. Step 3: Cross multiply
   11,596.07x = 17,386.54 × 7,635.34
4. Step 4: Simplify right side
   11,596.07x = 132,752,144.32
5. Step 5: Solve for x
   x = 132,752,144.32/11,596.07
6. Step 6: Final answer
   x = 11,448.03