Finding the Fourth Proportional to 1,092.69, 1,505.86 and 777.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,092.69 : 1,505.86 = 777.96 : x
2. Step 2: Convert to fraction form
   1,092.69/1,505.86 = 777.96/x
3. Step 3: Cross multiply
   1,092.69x = 1,505.86 × 777.96
4. Step 4: Simplify right side
   1,092.69x = 1,171,498.85
5. Step 5: Solve for x
   x = 1,171,498.85/1,092.69
6. Step 6: Final answer
   x = 1,072.12