Finding the Fourth Proportional to 1,392.32, 2,089.06 and 776.45

Step by Step Solution

1. Step 1: Write the proportion equation
   1,392.32 : 2,089.06 = 776.45 : x
2. Step 2: Convert to fraction form
   1,392.32/2,089.06 = 776.45/x
3. Step 3: Cross multiply
   1,392.32x = 2,089.06 × 776.45
4. Step 4: Simplify right side
   1,392.32x = 1,622,053.92
5. Step 5: Solve for x
   x = 1,622,053.92/1,392.32
6. Step 6: Final answer
   x = 1,165.00