Finding the Fourth Proportional to 1,003.98, 1,384.47 and 838.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,003.98 : 1,384.47 = 838.14 : x
2. Step 2: Convert to fraction form
   1,003.98/1,384.47 = 838.14/x
3. Step 3: Cross multiply
   1,003.98x = 1,384.47 × 838.14
4. Step 4: Simplify right side
   1,003.98x = 1,160,379.69
5. Step 5: Solve for x
   x = 1,160,379.69/1,003.98
6. Step 6: Final answer
   x = 1,155.78