Finding the Fourth Proportional to 5,042.89, 7,566.77 and 3,801.57

Step by Step Solution

1. Step 1: Write the proportion equation
   5,042.89 : 7,566.77 = 3,801.57 : x
2. Step 2: Convert to fraction form
   5,042.89/7,566.77 = 3,801.57/x
3. Step 3: Cross multiply
   5,042.89x = 7,566.77 × 3,801.57
4. Step 4: Simplify right side
   5,042.89x = 28,765,605.83
5. Step 5: Solve for x
   x = 28,765,605.83/5,042.89
6. Step 6: Final answer
   x = 5,704.19