Finding the Fourth Proportional to 2,605.29, 3,906.21 and 1,435.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,605.29 : 3,906.21 = 1,435.86 : x
2. Step 2: Convert to fraction form
   2,605.29/3,906.21 = 1,435.86/x
3. Step 3: Cross multiply
   2,605.29x = 3,906.21 × 1,435.86
4. Step 4: Simplify right side
   2,605.29x = 5,608,770.69
5. Step 5: Solve for x
   x = 5,608,770.69/2,605.29
6. Step 6: Final answer
   x = 2,152.84