Finding the Fourth Proportional to 1,780.38, 2,682.72 and 1,462.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,780.38 : 2,682.72 = 1,462.86 : x
2. Step 2: Convert to fraction form
   1,780.38/2,682.72 = 1,462.86/x
3. Step 3: Cross multiply
   1,780.38x = 2,682.72 × 1,462.86
4. Step 4: Simplify right side
   1,780.38x = 3,924,443.78
5. Step 5: Solve for x
   x = 3,924,443.78/1,780.38
6. Step 6: Final answer
   x = 2,204.27