Finding the Fourth Proportional to 1,410.02, 1,945.94 and 820.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.02 : 1,945.94 = 820.74 : x
2. Step 2: Convert to fraction form
   1,410.02/1,945.94 = 820.74/x
3. Step 3: Cross multiply
   1,410.02x = 1,945.94 × 820.74
4. Step 4: Simplify right side
   1,410.02x = 1,597,110.80
5. Step 5: Solve for x
   x = 1,597,110.80/1,410.02
6. Step 6: Final answer
   x = 1,132.69