Finding the Fourth Proportional to 1,858.54, 2,564.86 and 1,159.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,858.54 : 2,564.86 = 1,159.78 : x
2. Step 2: Convert to fraction form
   1,858.54/2,564.86 = 1,159.78/x
3. Step 3: Cross multiply
   1,858.54x = 2,564.86 × 1,159.78
4. Step 4: Simplify right side
   1,858.54x = 2,974,673.33
5. Step 5: Solve for x
   x = 2,974,673.33/1,858.54
6. Step 6: Final answer
   x = 1,600.54