Finding the Fourth Proportional to 1,410.42, 1,945.52 and 820.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.42 : 1,945.52 = 820.86 : x
2. Step 2: Convert to fraction form
   1,410.42/1,945.52 = 820.86/x
3. Step 3: Cross multiply
   1,410.42x = 1,945.52 × 820.86
4. Step 4: Simplify right side
   1,410.42x = 1,596,999.55
5. Step 5: Solve for x
   x = 1,596,999.55/1,410.42
6. Step 6: Final answer
   x = 1,132.29