Finding the Fourth Proportional to 1,742.72, 2,408.20 and 1,412.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,742.72 : 2,408.20 = 1,412.84 : x
2. Step 2: Convert to fraction form
   1,742.72/2,408.20 = 1,412.84/x
3. Step 3: Cross multiply
   1,742.72x = 2,408.20 × 1,412.84
4. Step 4: Simplify right side
   1,742.72x = 3,402,403.78
5. Step 5: Solve for x
   x = 3,402,403.78/1,742.72
6. Step 6: Final answer
   x = 1,952.36