Finding the Fourth Proportional to 1,426.72, 2,140.80 and 777.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,426.72 : 2,140.80 = 777.52 : x
2. Step 2: Convert to fraction form
   1,426.72/2,140.80 = 777.52/x
3. Step 3: Cross multiply
   1,426.72x = 2,140.80 × 777.52
4. Step 4: Simplify right side
   1,426.72x = 1,664,514.82
5. Step 5: Solve for x
   x = 1,664,514.82/1,426.72
6. Step 6: Final answer
   x = 1,166.67