Finding the Fourth Proportional to 1,291.16, 1,774.94 and 1,111.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,291.16 : 1,774.94 = 1,111.05 : x
2. Step 2: Convert to fraction form
   1,291.16/1,774.94 = 1,111.05/x
3. Step 3: Cross multiply
   1,291.16x = 1,774.94 × 1,111.05
4. Step 4: Simplify right side
   1,291.16x = 1,972,047.09
5. Step 5: Solve for x
   x = 1,972,047.09/1,291.16
6. Step 6: Final answer
   x = 1,527.35