Finding the Fourth Proportional to 942.69, 1,300.98 and 523.05

Step by Step Solution

1. Step 1: Write the proportion equation
   942.69 : 1,300.98 = 523.05 : x
2. Step 2: Convert to fraction form
   942.69/1,300.98 = 523.05/x
3. Step 3: Cross multiply
   942.69x = 1,300.98 × 523.05
4. Step 4: Simplify right side
   942.69x = 680,477.59
5. Step 5: Solve for x
   x = 680,477.59/942.69
6. Step 6: Final answer
   x = 721.85