Finding the Fourth Proportional to 1,056.88, 1,584.50 and 646.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,056.88 : 1,584.50 = 646.22 : x
2. Step 2: Convert to fraction form
   1,056.88/1,584.50 = 646.22/x
3. Step 3: Cross multiply
   1,056.88x = 1,584.50 × 646.22
4. Step 4: Simplify right side
   1,056.88x = 1,023,935.59
5. Step 5: Solve for x
   x = 1,023,935.59/1,056.88
6. Step 6: Final answer
   x = 968.83