Finding the Fourth Proportional to 1,064, 1,468.72 and 696

Step by Step Solution

1. Step 1: Write the proportion equation
   1,064 : 1,468.72 = 696 : x
2. Step 2: Convert to fraction form
   1,064/1,468.72 = 696/x
3. Step 3: Cross multiply
   1,064x = 1,468.72 × 696
4. Step 4: Simplify right side
   1,064x = 1,022,229.12
5. Step 5: Solve for x
   x = 1,022,229.12/1,064
6. Step 6: Final answer
   x = 960.74