Finding the Fourth Proportional to 2,564.11, 3,538.42 and 1,429.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.11 : 3,538.42 = 1,429.80 : x
2. Step 2: Convert to fraction form
   2,564.11/3,538.42 = 1,429.80/x
3. Step 3: Cross multiply
   2,564.11x = 3,538.42 × 1,429.80
4. Step 4: Simplify right side
   2,564.11x = 5,059,216.07
5. Step 5: Solve for x
   x = 5,059,216.07/2,564.11
6. Step 6: Final answer
   x = 1,973.09