Finding the Fourth Proportional to 1,406.63, 2,111.16 and 920.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.63 : 2,111.16 = 920.27 : x
2. Step 2: Convert to fraction form
   1,406.63/2,111.16 = 920.27/x
3. Step 3: Cross multiply
   1,406.63x = 2,111.16 × 920.27
4. Step 4: Simplify right side
   1,406.63x = 1,942,837.21
5. Step 5: Solve for x
   x = 1,942,837.21/1,406.63
6. Step 6: Final answer
   x = 1,381.20