Finding the Fourth Proportional to 1,111.64, 1,665.30 and 677.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,111.64 : 1,665.30 = 677.24 : x
2. Step 2: Convert to fraction form
   1,111.64/1,665.30 = 677.24/x
3. Step 3: Cross multiply
   1,111.64x = 1,665.30 × 677.24
4. Step 4: Simplify right side
   1,111.64x = 1,127,807.77
5. Step 5: Solve for x
   x = 1,127,807.77/1,111.64
6. Step 6: Final answer
   x = 1,014.54