Finding the Fourth Proportional to 1,892.26, 2,613.82 and 1,578.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,892.26 : 2,613.82 = 1,578.56 : x
2. Step 2: Convert to fraction form
   1,892.26/2,613.82 = 1,578.56/x
3. Step 3: Cross multiply
   1,892.26x = 2,613.82 × 1,578.56
4. Step 4: Simplify right side
   1,892.26x = 4,126,050.74
5. Step 5: Solve for x
   x = 4,126,050.74/1,892.26
6. Step 6: Final answer
   x = 2,180.49