Finding the Fourth Proportional to 2,712.42, 4,071.33 and 1,416.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,712.42 : 4,071.33 = 1,416.78 : x
2. Step 2: Convert to fraction form
   2,712.42/4,071.33 = 1,416.78/x
3. Step 3: Cross multiply
   2,712.42x = 4,071.33 × 1,416.78
4. Step 4: Simplify right side
   2,712.42x = 5,768,178.92
5. Step 5: Solve for x
   x = 5,768,178.92/2,712.42
6. Step 6: Final answer
   x = 2,126.58