Finding the Fourth Proportional to 1,162.64, 1,594.71 and 1,100

Step by Step Solution

1. Step 1: Write the proportion equation
   1,162.64 : 1,594.71 = 1,100 : x
2. Step 2: Convert to fraction form
   1,162.64/1,594.71 = 1,100/x
3. Step 3: Cross multiply
   1,162.64x = 1,594.71 × 1,100
4. Step 4: Simplify right side
   1,162.64x = 1,754,175.50
5. Step 5: Solve for x
   x = 1,754,175.50/1,162.64
6. Step 6: Final answer
   x = 1,508.79