Finding the Fourth Proportional to 1,406.42, 2,108.34 and 540.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.42 : 2,108.34 = 540.56 : x
2. Step 2: Convert to fraction form
   1,406.42/2,108.34 = 540.56/x
3. Step 3: Cross multiply
   1,406.42x = 2,108.34 × 540.56
4. Step 4: Simplify right side
   1,406.42x = 1,139,684.27
5. Step 5: Solve for x
   x = 1,139,684.27/1,406.42
6. Step 6: Final answer
   x = 810.34