Finding the Fourth Proportional to 1,002.38, 1,381.86 and 629.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.38 : 1,381.86 = 629.37 : x
2. Step 2: Convert to fraction form
   1,002.38/1,381.86 = 629.37/x
3. Step 3: Cross multiply
   1,002.38x = 1,381.86 × 629.37
4. Step 4: Simplify right side
   1,002.38x = 869,701.23
5. Step 5: Solve for x
   x = 869,701.23/1,002.38
6. Step 6: Final answer
   x = 867.64