Finding the Fourth Proportional to 1,853.86, 2,558.98 and 1,146.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,853.86 : 2,558.98 = 1,146.25 : x
2. Step 2: Convert to fraction form
   1,853.86/2,558.98 = 1,146.25/x
3. Step 3: Cross multiply
   1,853.86x = 2,558.98 × 1,146.25
4. Step 4: Simplify right side
   1,853.86x = 2,933,221.56
5. Step 5: Solve for x
   x = 2,933,221.56/1,853.86
6. Step 6: Final answer
   x = 1,582.22