Finding the Fourth Proportional to 1,291.35, 1,781.91 and 1,114.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,291.35 : 1,781.91 = 1,114.59 : x
2. Step 2: Convert to fraction form
   1,291.35/1,781.91 = 1,114.59/x
3. Step 3: Cross multiply
   1,291.35x = 1,781.91 × 1,114.59
4. Step 4: Simplify right side
   1,291.35x = 1,986,099.07
5. Step 5: Solve for x
   x = 1,986,099.07/1,291.35
6. Step 6: Final answer
   x = 1,538.00