Finding the Fourth Proportional to 1,507.37, 2,259.24 and 776.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,507.37 : 2,259.24 = 776.55 : x
2. Step 2: Convert to fraction form
   1,507.37/2,259.24 = 776.55/x
3. Step 3: Cross multiply
   1,507.37x = 2,259.24 × 776.55
4. Step 4: Simplify right side
   1,507.37x = 1,754,409.91
5. Step 5: Solve for x
   x = 1,754,409.91/1,507.37
6. Step 6: Final answer
   x = 1,163.89