Finding the Fourth Proportional to 1,410.03, 1,945.35 and 820.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.03 : 1,945.35 = 820.53 : x
2. Step 2: Convert to fraction form
   1,410.03/1,945.35 = 820.53/x
3. Step 3: Cross multiply
   1,410.03x = 1,945.35 × 820.53
4. Step 4: Simplify right side
   1,410.03x = 1,596,218.04
5. Step 5: Solve for x
   x = 1,596,218.04/1,410.03
6. Step 6: Final answer
   x = 1,132.05