Finding the Fourth Proportional to 11,752.82, 17,619.98 and 5,825.63

Step by Step Solution

1. Step 1: Write the proportion equation
   11,752.82 : 17,619.98 = 5,825.63 : x
2. Step 2: Convert to fraction form
   11,752.82/17,619.98 = 5,825.63/x
3. Step 3: Cross multiply
   11,752.82x = 17,619.98 × 5,825.63
4. Step 4: Simplify right side
   11,752.82x = 102,647,484.09
5. Step 5: Solve for x
   x = 102,647,484.09/11,752.82
6. Step 6: Final answer
   x = 8,733.86