Finding the Fourth Proportional to 1,456.59, 2,186.10 and 763.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.59 : 2,186.10 = 763.50 : x
2. Step 2: Convert to fraction form
   1,456.59/2,186.10 = 763.50/x
3. Step 3: Cross multiply
   1,456.59x = 2,186.10 × 763.50
4. Step 4: Simplify right side
   1,456.59x = 1,669,087.35
5. Step 5: Solve for x
   x = 1,669,087.35/1,456.59
6. Step 6: Final answer
   x = 1,145.89