Finding the Fourth Proportional to 1,540.72, 2,312.64 and 810.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,540.72 : 2,312.64 = 810.16 : x
2. Step 2: Convert to fraction form
   1,540.72/2,312.64 = 810.16/x
3. Step 3: Cross multiply
   1,540.72x = 2,312.64 × 810.16
4. Step 4: Simplify right side
   1,540.72x = 1,873,608.42
5. Step 5: Solve for x
   x = 1,873,608.42/1,540.72
6. Step 6: Final answer
   x = 1,216.06