Finding the Fourth Proportional to 1,005.18, 1,506.86 and 716.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,005.18 : 1,506.86 = 716.82 : x
2. Step 2: Convert to fraction form
   1,005.18/1,506.86 = 716.82/x
3. Step 3: Cross multiply
   1,005.18x = 1,506.86 × 716.82
4. Step 4: Simplify right side
   1,005.18x = 1,080,147.39
5. Step 5: Solve for x
   x = 1,080,147.39/1,005.18
6. Step 6: Final answer
   x = 1,074.58