Finding the Fourth Proportional to 1,417.55, 1,956.31 and 820.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,417.55 : 1,956.31 = 820.14 : x
2. Step 2: Convert to fraction form
   1,417.55/1,956.31 = 820.14/x
3. Step 3: Cross multiply
   1,417.55x = 1,956.31 × 820.14
4. Step 4: Simplify right side
   1,417.55x = 1,604,438.70
5. Step 5: Solve for x
   x = 1,604,438.70/1,417.55
6. Step 6: Final answer
   x = 1,131.84