Finding the Fourth Proportional to 11,893.35, 17,826.58 and 5,644.69

Step by Step Solution

1. Step 1: Write the proportion equation
   11,893.35 : 17,826.58 = 5,644.69 : x
2. Step 2: Convert to fraction form
   11,893.35/17,826.58 = 5,644.69/x
3. Step 3: Cross multiply
   11,893.35x = 17,826.58 × 5,644.69
4. Step 4: Simplify right side
   11,893.35x = 100,625,517.86
5. Step 5: Solve for x
   x = 100,625,517.86/11,893.35
6. Step 6: Final answer
   x = 8,460.65