Finding the Fourth Proportional to 1,406.67, 2,108.79 and 540.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.67 : 2,108.79 = 540.78 : x
2. Step 2: Convert to fraction form
   1,406.67/2,108.79 = 540.78/x
3. Step 3: Cross multiply
   1,406.67x = 2,108.79 × 540.78
4. Step 4: Simplify right side
   1,406.67x = 1,140,391.46
5. Step 5: Solve for x
   x = 1,140,391.46/1,406.67
6. Step 6: Final answer
   x = 810.70