Finding the Fourth Proportional to 1,428.82, 1,971.15 and 838.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,428.82 : 1,971.15 = 838.33 : x
2. Step 2: Convert to fraction form
   1,428.82/1,971.15 = 838.33/x
3. Step 3: Cross multiply
   1,428.82x = 1,971.15 × 838.33
4. Step 4: Simplify right side
   1,428.82x = 1,652,474.18
5. Step 5: Solve for x
   x = 1,652,474.18/1,428.82
6. Step 6: Final answer
   x = 1,156.53