Finding the Fourth Proportional to 1,076.64, 1,485.72 and 634.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,076.64 : 1,485.72 = 634.56 : x
2. Step 2: Convert to fraction form
   1,076.64/1,485.72 = 634.56/x
3. Step 3: Cross multiply
   1,076.64x = 1,485.72 × 634.56
4. Step 4: Simplify right side
   1,076.64x = 942,778.48
5. Step 5: Solve for x
   x = 942,778.48/1,076.64
6. Step 6: Final answer
   x = 875.67