Finding the Fourth Proportional to 1,406.08, 2,108.72 and 540.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.08 : 2,108.72 = 540.32 : x
2. Step 2: Convert to fraction form
   1,406.08/2,108.72 = 540.32/x
3. Step 3: Cross multiply
   1,406.08x = 2,108.72 × 540.32
4. Step 4: Simplify right side
   1,406.08x = 1,139,383.59
5. Step 5: Solve for x
   x = 1,139,383.59/1,406.08
6. Step 6: Final answer
   x = 810.33