Finding the Fourth Proportional to 1,005.35, 1,387.33 and 632.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,005.35 : 1,387.33 = 632.34 : x
2. Step 2: Convert to fraction form
   1,005.35/1,387.33 = 632.34/x
3. Step 3: Cross multiply
   1,005.35x = 1,387.33 × 632.34
4. Step 4: Simplify right side
   1,005.35x = 877,262.67
5. Step 5: Solve for x
   x = 877,262.67/1,005.35
6. Step 6: Final answer
   x = 872.60