Finding the Fourth Proportional to 1,417.41, 1,956.41 and 920.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,417.41 : 1,956.41 = 920.02 : x
2. Step 2: Convert to fraction form
   1,417.41/1,956.41 = 920.02/x
3. Step 3: Cross multiply
   1,417.41x = 1,956.41 × 920.02
4. Step 4: Simplify right side
   1,417.41x = 1,799,941.07
5. Step 5: Solve for x
   x = 1,799,941.07/1,417.41
6. Step 6: Final answer
   x = 1,269.88