Finding the Fourth Proportional to 1,564.72, 2,342.39 and 946.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.72 : 2,342.39 = 946.53 : x
2. Step 2: Convert to fraction form
   1,564.72/2,342.39 = 946.53/x
3. Step 3: Cross multiply
   1,564.72x = 2,342.39 × 946.53
4. Step 4: Simplify right side
   1,564.72x = 2,217,137.67
5. Step 5: Solve for x
   x = 2,217,137.67/1,564.72
6. Step 6: Final answer
   x = 1,416.96