Finding the Fourth Proportional to 1,006.59, 1,389.69 and 633.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,006.59 : 1,389.69 = 633.89 : x
2. Step 2: Convert to fraction form
   1,006.59/1,389.69 = 633.89/x
3. Step 3: Cross multiply
   1,006.59x = 1,389.69 × 633.89
4. Step 4: Simplify right side
   1,006.59x = 880,910.59
5. Step 5: Solve for x
   x = 880,910.59/1,006.59
6. Step 6: Final answer
   x = 875.14