Finding the Fourth Proportional to 3,842.10, 5,301.72 and 2,269.89

Step by Step Solution

1. Step 1: Write the proportion equation
   3,842.10 : 5,301.72 = 2,269.89 : x
2. Step 2: Convert to fraction form
   3,842.10/5,301.72 = 2,269.89/x
3. Step 3: Cross multiply
   3,842.10x = 5,301.72 × 2,269.89
4. Step 4: Simplify right side
   3,842.10x = 12,034,321.21
5. Step 5: Solve for x
   x = 12,034,321.21/3,842.10
6. Step 6: Final answer
   x = 3,132.22