Finding the Fourth Proportional to 1,097.78, 1,501.50 and 1,080.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.78 : 1,501.50 = 1,080.77 : x
2. Step 2: Convert to fraction form
   1,097.78/1,501.50 = 1,080.77/x
3. Step 3: Cross multiply
   1,097.78x = 1,501.50 × 1,080.77
4. Step 4: Simplify right side
   1,097.78x = 1,622,768.65
5. Step 5: Solve for x
   x = 1,622,768.65/1,097.78
6. Step 6: Final answer
   x = 1,478.23