Finding the Fourth Proportional to 1,105.71, 1,525.83 and 633.65

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.71 : 1,525.83 = 633.65 : x
2. Step 2: Convert to fraction form
   1,105.71/1,525.83 = 633.65/x
3. Step 3: Cross multiply
   1,105.71x = 1,525.83 × 633.65
4. Step 4: Simplify right side
   1,105.71x = 966,834.55
5. Step 5: Solve for x
   x = 966,834.55/1,105.71
6. Step 6: Final answer
   x = 874.40