Finding the Fourth Proportional to 767.69, 1,152.69 and 460.91

Step by Step Solution

1. Step 1: Write the proportion equation
   767.69 : 1,152.69 = 460.91 : x
2. Step 2: Convert to fraction form
   767.69/1,152.69 = 460.91/x
3. Step 3: Cross multiply
   767.69x = 1,152.69 × 460.91
4. Step 4: Simplify right side
   767.69x = 531,287.50
5. Step 5: Solve for x
   x = 531,287.50/767.69
6. Step 6: Final answer
   x = 692.06