Finding the Fourth Proportional to 762.69, 1,145.59 and 503.06

Step by Step Solution

1. Step 1: Write the proportion equation
   762.69 : 1,145.59 = 503.06 : x
2. Step 2: Convert to fraction form
   762.69/1,145.59 = 503.06/x
3. Step 3: Cross multiply
   762.69x = 1,145.59 × 503.06
4. Step 4: Simplify right side
   762.69x = 576,300.51
5. Step 5: Solve for x
   x = 576,300.51/762.69
6. Step 6: Final answer
   x = 755.62