Finding the Fourth Proportional to 3,841.29, 5,300.10 and 2,584.71

Step by Step Solution

1. Step 1: Write the proportion equation
   3,841.29 : 5,300.10 = 2,584.71 : x
2. Step 2: Convert to fraction form
   3,841.29/5,300.10 = 2,584.71/x
3. Step 3: Cross multiply
   3,841.29x = 5,300.10 × 2,584.71
4. Step 4: Simplify right side
   3,841.29x = 13,699,221.47
5. Step 5: Solve for x
   x = 13,699,221.47/3,841.29
6. Step 6: Final answer
   x = 3,566.31