Finding the Fourth Proportional to 1,858.78, 2,564.55 and 1,196.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,858.78 : 2,564.55 = 1,196.41 : x
2. Step 2: Convert to fraction form
   1,858.78/2,564.55 = 1,196.41/x
3. Step 3: Cross multiply
   1,858.78x = 2,564.55 × 1,196.41
4. Step 4: Simplify right side
   1,858.78x = 3,068,253.27
5. Step 5: Solve for x
   x = 3,068,253.27/1,858.78
6. Step 6: Final answer
   x = 1,650.68