Finding the Fourth Proportional to 3,406.69, 5,107.60 and 1,457.83

Step by Step Solution

1. Step 1: Write the proportion equation
   3,406.69 : 5,107.60 = 1,457.83 : x
2. Step 2: Convert to fraction form
   3,406.69/5,107.60 = 1,457.83/x
3. Step 3: Cross multiply
   3,406.69x = 5,107.60 × 1,457.83
4. Step 4: Simplify right side
   3,406.69x = 7,446,012.51
5. Step 5: Solve for x
   x = 7,446,012.51/3,406.69
6. Step 6: Final answer
   x = 2,185.70