Finding the Fourth Proportional to 1,426.56, 2,140.50 and 776.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,426.56 : 2,140.50 = 776.52 : x
2. Step 2: Convert to fraction form
   1,426.56/2,140.50 = 776.52/x
3. Step 3: Cross multiply
   1,426.56x = 2,140.50 × 776.52
4. Step 4: Simplify right side
   1,426.56x = 1,662,141.06
5. Step 5: Solve for x
   x = 1,662,141.06/1,426.56
6. Step 6: Final answer
   x = 1,165.14