Finding the Fourth Proportional to 1,857.42, 2,561.76 and 1,578.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,857.42 : 2,561.76 = 1,578.58 : x
2. Step 2: Convert to fraction form
   1,857.42/2,561.76 = 1,578.58/x
3. Step 3: Cross multiply
   1,857.42x = 2,561.76 × 1,578.58
4. Step 4: Simplify right side
   1,857.42x = 4,043,928.32
5. Step 5: Solve for x
   x = 4,043,928.32/1,857.42
6. Step 6: Final answer
   x = 2,177.18