Finding the Fourth Proportional to 1,020.94, 1,530.20 and 776.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,020.94 : 1,530.20 = 776.72 : x
2. Step 2: Convert to fraction form
   1,020.94/1,530.20 = 776.72/x
3. Step 3: Cross multiply
   1,020.94x = 1,530.20 × 776.72
4. Step 4: Simplify right side
   1,020.94x = 1,188,536.94
5. Step 5: Solve for x
   x = 1,188,536.94/1,020.94
6. Step 6: Final answer
   x = 1,164.16