Finding the Fourth Proportional to 1,005.54, 1,387.57 and 632.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,005.54 : 1,387.57 = 632.50 : x
2. Step 2: Convert to fraction form
   1,005.54/1,387.57 = 632.50/x
3. Step 3: Cross multiply
   1,005.54x = 1,387.57 × 632.50
4. Step 4: Simplify right side
   1,005.54x = 877,638.03
5. Step 5: Solve for x
   x = 877,638.03/1,005.54
6. Step 6: Final answer
   x = 872.80