Finding the Fourth Proportional to 1,114.08, 1,538.37 and 820.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,114.08 : 1,538.37 = 820.86 : x
2. Step 2: Convert to fraction form
   1,114.08/1,538.37 = 820.86/x
3. Step 3: Cross multiply
   1,114.08x = 1,538.37 × 820.86
4. Step 4: Simplify right side
   1,114.08x = 1,262,786.40
5. Step 5: Solve for x
   x = 1,262,786.40/1,114.08
6. Step 6: Final answer
   x = 1,133.48