Finding the Fourth Proportional to 1,118.24, 1,538.88 and 1,085.92

Step by Step Solution

1. Step 1: Write the proportion equation
   1,118.24 : 1,538.88 = 1,085.92 : x
2. Step 2: Convert to fraction form
   1,118.24/1,538.88 = 1,085.92/x
3. Step 3: Cross multiply
   1,118.24x = 1,538.88 × 1,085.92
4. Step 4: Simplify right side
   1,118.24x = 1,671,100.57
5. Step 5: Solve for x
   x = 1,671,100.57/1,118.24
6. Step 6: Final answer
   x = 1,494.40