Finding the Fourth Proportional to 1,677.57, 2,512.71 and 810.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,677.57 : 2,512.71 = 810.06 : x
2. Step 2: Convert to fraction form
   1,677.57/2,512.71 = 810.06/x
3. Step 3: Cross multiply
   1,677.57x = 2,512.71 × 810.06
4. Step 4: Simplify right side
   1,677.57x = 2,035,445.86
5. Step 5: Solve for x
   x = 2,035,445.86/1,677.57
6. Step 6: Final answer
   x = 1,213.33