Finding the Fourth Proportional to 1,426.50, 2,138.67 and 776.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,426.50 : 2,138.67 = 776.34 : x
2. Step 2: Convert to fraction form
   1,426.50/2,138.67 = 776.34/x
3. Step 3: Cross multiply
   1,426.50x = 2,138.67 × 776.34
4. Step 4: Simplify right side
   1,426.50x = 1,660,335.07
5. Step 5: Solve for x
   x = 1,660,335.07/1,426.50
6. Step 6: Final answer
   x = 1,163.92