Finding the Fourth Proportional to 1,002.38, 1,384.13 and 629.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.38 : 1,384.13 = 629.98 : x
2. Step 2: Convert to fraction form
   1,002.38/1,384.13 = 629.98/x
3. Step 3: Cross multiply
   1,002.38x = 1,384.13 × 629.98
4. Step 4: Simplify right side
   1,002.38x = 871,972.33
5. Step 5: Solve for x
   x = 871,972.33/1,002.38
6. Step 6: Final answer
   x = 869.91