Finding the Fourth Proportional to 1,111.84, 1,665.92 and 678.08

Step by Step Solution

1. Step 1: Write the proportion equation
   1,111.84 : 1,665.92 = 678.08 : x
2. Step 2: Convert to fraction form
   1,111.84/1,665.92 = 678.08/x
3. Step 3: Cross multiply
   1,111.84x = 1,665.92 × 678.08
4. Step 4: Simplify right side
   1,111.84x = 1,129,627.03
5. Step 5: Solve for x
   x = 1,129,627.03/1,111.84
6. Step 6: Final answer
   x = 1,016.00