Finding the Fourth Proportional to 1,351.83, 1,864.74 and 820.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,351.83 : 1,864.74 = 820.47 : x
2. Step 2: Convert to fraction form
   1,351.83/1,864.74 = 820.47/x
3. Step 3: Cross multiply
   1,351.83x = 1,864.74 × 820.47
4. Step 4: Simplify right side
   1,351.83x = 1,529,963.23
5. Step 5: Solve for x
   x = 1,529,963.23/1,351.83
6. Step 6: Final answer
   x = 1,131.77