Finding the Fourth Proportional to 11,874.38, 17,820.32 and 5,634.41

Step by Step Solution

1. Step 1: Write the proportion equation
   11,874.38 : 17,820.32 = 5,634.41 : x
2. Step 2: Convert to fraction form
   11,874.38/17,820.32 = 5,634.41/x
3. Step 3: Cross multiply
   11,874.38x = 17,820.32 × 5,634.41
4. Step 4: Simplify right side
   11,874.38x = 100,406,871.94
5. Step 5: Solve for x
   x = 100,406,871.94/11,874.38
6. Step 6: Final answer
   x = 8,455.76