Finding the Fourth Proportional to 5,687.76, 7,853.96 and 3,566.86

Step by Step Solution

1. Step 1: Write the proportion equation
   5,687.76 : 7,853.96 = 3,566.86 : x
2. Step 2: Convert to fraction form
   5,687.76/7,853.96 = 3,566.86/x
3. Step 3: Cross multiply
   5,687.76x = 7,853.96 × 3,566.86
4. Step 4: Simplify right side
   5,687.76x = 28,013,971.31
5. Step 5: Solve for x
   x = 28,013,971.31/5,687.76
6. Step 6: Final answer
   x = 4,925.31