Finding the Fourth Proportional to 3,406.50, 5,111.71 and 1,431.96

Step by Step Solution

1. Step 1: Write the proportion equation
   3,406.50 : 5,111.71 = 1,431.96 : x
2. Step 2: Convert to fraction form
   3,406.50/5,111.71 = 1,431.96/x
3. Step 3: Cross multiply
   3,406.50x = 5,111.71 × 1,431.96
4. Step 4: Simplify right side
   3,406.50x = 7,319,764.25
5. Step 5: Solve for x
   x = 7,319,764.25/3,406.50
6. Step 6: Final answer
   x = 2,148.76