Finding the Fourth Proportional to 1,407.24, 2,111.52 and 757.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,407.24 : 2,111.52 = 757.88 : x
2. Step 2: Convert to fraction form
   1,407.24/2,111.52 = 757.88/x
3. Step 3: Cross multiply
   1,407.24x = 2,111.52 × 757.88
4. Step 4: Simplify right side
   1,407.24x = 1,600,278.78
5. Step 5: Solve for x
   x = 1,600,278.78/1,407.24
6. Step 6: Final answer
   x = 1,137.18