Finding the Fourth Proportional to 1,856.16, 2,559.96 and 1,147.68

Step by Step Solution

1. Step 1: Write the proportion equation
   1,856.16 : 2,559.96 = 1,147.68 : x
2. Step 2: Convert to fraction form
   1,856.16/2,559.96 = 1,147.68/x
3. Step 3: Cross multiply
   1,856.16x = 2,559.96 × 1,147.68
4. Step 4: Simplify right side
   1,856.16x = 2,938,014.89
5. Step 5: Solve for x
   x = 2,938,014.89/1,856.16
6. Step 6: Final answer
   x = 1,582.85