Finding the Fourth Proportional to 1,322.53, 1,983.89 and 838.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,322.53 : 1,983.89 = 838.76 : x
2. Step 2: Convert to fraction form
   1,322.53/1,983.89 = 838.76/x
3. Step 3: Cross multiply
   1,322.53x = 1,983.89 × 838.76
4. Step 4: Simplify right side
   1,322.53x = 1,663,999.75
5. Step 5: Solve for x
   x = 1,663,999.75/1,322.53
6. Step 6: Final answer
   x = 1,258.20