Finding the Fourth Proportional to 1,002.26, 1,382.71 and 707.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.26 : 1,382.71 = 707.42 : x
2. Step 2: Convert to fraction form
   1,002.26/1,382.71 = 707.42/x
3. Step 3: Cross multiply
   1,002.26x = 1,382.71 × 707.42
4. Step 4: Simplify right side
   1,002.26x = 978,156.71
5. Step 5: Solve for x
   x = 978,156.71/1,002.26
6. Step 6: Final answer
   x = 975.95