Finding the Fourth Proportional to 1,456.33, 2,182.76 and 838.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.33 : 2,182.76 = 838.76 : x
2. Step 2: Convert to fraction form
   1,456.33/2,182.76 = 838.76/x
3. Step 3: Cross multiply
   1,456.33x = 2,182.76 × 838.76
4. Step 4: Simplify right side
   1,456.33x = 1,830,810.67
5. Step 5: Solve for x
   x = 1,830,810.67/1,456.33
6. Step 6: Final answer
   x = 1,257.14