Finding the Fourth Proportional to 1,426.58, 2,139.15 and 777.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,426.58 : 2,139.15 = 777.14 : x
2. Step 2: Convert to fraction form
   1,426.58/2,139.15 = 777.14/x
3. Step 3: Cross multiply
   1,426.58x = 2,139.15 × 777.14
4. Step 4: Simplify right side
   1,426.58x = 1,662,419.03
5. Step 5: Solve for x
   x = 1,662,419.03/1,426.58
6. Step 6: Final answer
   x = 1,165.32