Finding the Fourth Proportional to 1,410.18, 1,946.22 and 820.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.18 : 1,946.22 = 820.59 : x
2. Step 2: Convert to fraction form
   1,410.18/1,946.22 = 820.59/x
3. Step 3: Cross multiply
   1,410.18x = 1,946.22 × 820.59
4. Step 4: Simplify right side
   1,410.18x = 1,597,048.67
5. Step 5: Solve for x
   x = 1,597,048.67/1,410.18
6. Step 6: Final answer
   x = 1,132.51