Finding the Fourth Proportional to 1,507.69, 2,262.76 and 777.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,507.69 : 2,262.76 = 777.47 : x
2. Step 2: Convert to fraction form
   1,507.69/2,262.76 = 777.47/x
3. Step 3: Cross multiply
   1,507.69x = 2,262.76 × 777.47
4. Step 4: Simplify right side
   1,507.69x = 1,759,231.73
5. Step 5: Solve for x
   x = 1,759,231.73/1,507.69
6. Step 6: Final answer
   x = 1,166.84