Finding the Fourth Proportional to 1,005.98, 1,388.23 and 633.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,005.98 : 1,388.23 = 633.58 : x
2. Step 2: Convert to fraction form
   1,005.98/1,388.23 = 633.58/x
3. Step 3: Cross multiply
   1,005.98x = 1,388.23 × 633.58
4. Step 4: Simplify right side
   1,005.98x = 879,562.59
5. Step 5: Solve for x
   x = 879,562.59/1,005.98
6. Step 6: Final answer
   x = 874.33