Finding the Fourth Proportional to 14,595.82, 21,894.15 and 5,710.78

Step by Step Solution

1. Step 1: Write the proportion equation
   14,595.82 : 21,894.15 = 5,710.78 : x
2. Step 2: Convert to fraction form
   14,595.82/21,894.15 = 5,710.78/x
3. Step 3: Cross multiply
   14,595.82x = 21,894.15 × 5,710.78
4. Step 4: Simplify right side
   14,595.82x = 125,032,673.94
5. Step 5: Solve for x
   x = 125,032,673.94/14,595.82
6. Step 6: Final answer
   x = 8,566.33