Finding the Fourth Proportional to 2,109.36, 2,911.96 and 1,429.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.36 : 2,911.96 = 1,429.20 : x
2. Step 2: Convert to fraction form
   2,109.36/2,911.96 = 1,429.20/x
3. Step 3: Cross multiply
   2,109.36x = 2,911.96 × 1,429.20
4. Step 4: Simplify right side
   2,109.36x = 4,161,773.23
5. Step 5: Solve for x
   x = 4,161,773.23/2,109.36
6. Step 6: Final answer
   x = 1,973.00