Finding the Fourth Proportional to 1,116.09, 1,538.53 and 742.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,116.09 : 1,538.53 = 742.28 : x
2. Step 2: Convert to fraction form
   1,116.09/1,538.53 = 742.28/x
3. Step 3: Cross multiply
   1,116.09x = 1,538.53 × 742.28
4. Step 4: Simplify right side
   1,116.09x = 1,142,010.50
5. Step 5: Solve for x
   x = 1,142,010.50/1,116.09
6. Step 6: Final answer
   x = 1,023.22