Finding the Fourth Proportional to 1,406.16, 2,111.67 and 832.68

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.16 : 2,111.67 = 832.68 : x
2. Step 2: Convert to fraction form
   1,406.16/2,111.67 = 832.68/x
3. Step 3: Cross multiply
   1,406.16x = 2,111.67 × 832.68
4. Step 4: Simplify right side
   1,406.16x = 1,758,345.38
5. Step 5: Solve for x
   x = 1,758,345.38/1,406.16
6. Step 6: Final answer
   x = 1,250.46