Finding the Fourth Proportional to 1,106.83, 1,527.56 and 634.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,106.83 : 1,527.56 = 634.78 : x
2. Step 2: Convert to fraction form
   1,106.83/1,527.56 = 634.78/x
3. Step 3: Cross multiply
   1,106.83x = 1,527.56 × 634.78
4. Step 4: Simplify right side
   1,106.83x = 969,665.65
5. Step 5: Solve for x
   x = 969,665.65/1,106.83
6. Step 6: Final answer
   x = 876.07