Finding the Fourth Proportional to 5,689.50, 7,853.67 and 3,827.58

Step by Step Solution

1. Step 1: Write the proportion equation
   5,689.50 : 7,853.67 = 3,827.58 : x
2. Step 2: Convert to fraction form
   5,689.50/7,853.67 = 3,827.58/x
3. Step 3: Cross multiply
   5,689.50x = 7,853.67 × 3,827.58
4. Step 4: Simplify right side
   5,689.50x = 30,060,550.22
5. Step 5: Solve for x
   x = 30,060,550.22/5,689.50
6. Step 6: Final answer
   x = 5,283.51