Finding the Fourth Proportional to 11,582.38, 17,372.49 and 5,742.82

Step by Step Solution

1. Step 1: Write the proportion equation
   11,582.38 : 17,372.49 = 5,742.82 : x
2. Step 2: Convert to fraction form
   11,582.38/17,372.49 = 5,742.82/x
3. Step 3: Cross multiply
   11,582.38x = 17,372.49 × 5,742.82
4. Step 4: Simplify right side
   11,582.38x = 99,767,083.02
5. Step 5: Solve for x
   x = 99,767,083.02/11,582.38
6. Step 6: Final answer
   x = 8,613.69