Finding the Fourth Proportional to 11,594.82, 17,384.67 and 7,634.09

Step by Step Solution

1. Step 1: Write the proportion equation
   11,594.82 : 17,384.67 = 7,634.09 : x
2. Step 2: Convert to fraction form
   11,594.82/17,384.67 = 7,634.09/x
3. Step 3: Cross multiply
   11,594.82x = 17,384.67 × 7,634.09
4. Step 4: Simplify right side
   11,594.82x = 132,716,178.86
5. Step 5: Solve for x
   x = 132,716,178.86/11,594.82
6. Step 6: Final answer
   x = 11,446.16