Finding the Fourth Proportional to 1,514.25, 2,267.28 and 782.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,514.25 : 2,267.28 = 782.31 : x
2. Step 2: Convert to fraction form
   1,514.25/2,267.28 = 782.31/x
3. Step 3: Cross multiply
   1,514.25x = 2,267.28 × 782.31
4. Step 4: Simplify right side
   1,514.25x = 1,773,715.82
5. Step 5: Solve for x
   x = 1,773,715.82/1,514.25
6. Step 6: Final answer
   x = 1,171.35