Finding the Fourth Proportional to 1,336.50, 2,003.54 and 514.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,336.50 : 2,003.54 = 514.25 : x
2. Step 2: Convert to fraction form
   1,336.50/2,003.54 = 514.25/x
3. Step 3: Cross multiply
   1,336.50x = 2,003.54 × 514.25
4. Step 4: Simplify right side
   1,336.50x = 1,030,315.37
5. Step 5: Solve for x
   x = 1,030,315.37/1,336.50
6. Step 6: Final answer
   x = 770.91