Finding the Fourth Proportional to 1,407.11, 2,111.27 and 757.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,407.11 : 2,111.27 = 757.71 : x
2. Step 2: Convert to fraction form
   1,407.11/2,111.27 = 757.71/x
3. Step 3: Cross multiply
   1,407.11x = 2,111.27 × 757.71
4. Step 4: Simplify right side
   1,407.11x = 1,599,726.60
5. Step 5: Solve for x
   x = 1,599,726.60/1,407.11
6. Step 6: Final answer
   x = 1,136.89