Finding the Fourth Proportional to 1,930.72, 2,896.50 and 776.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,930.72 : 2,896.50 = 776.56 : x
2. Step 2: Convert to fraction form
   1,930.72/2,896.50 = 776.56/x
3. Step 3: Cross multiply
   1,930.72x = 2,896.50 × 776.56
4. Step 4: Simplify right side
   1,930.72x = 2,249,306.04
5. Step 5: Solve for x
   x = 2,249,306.04/1,930.72
6. Step 6: Final answer
   x = 1,165.01