Finding the Fourth Proportional to 1,026.58, 1,540.67 and 716.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,026.58 : 1,540.67 = 716.42 : x
2. Step 2: Convert to fraction form
   1,026.58/1,540.67 = 716.42/x
3. Step 3: Cross multiply
   1,026.58x = 1,540.67 × 716.42
4. Step 4: Simplify right side
   1,026.58x = 1,103,755.52
5. Step 5: Solve for x
   x = 1,103,755.52/1,026.58
6. Step 6: Final answer
   x = 1,075.18