Finding the Fourth Proportional to 1,564.30, 2,348.16 and 1,152.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.30 : 2,348.16 = 1,152.16 : x
2. Step 2: Convert to fraction form
   1,564.30/2,348.16 = 1,152.16/x
3. Step 3: Cross multiply
   1,564.30x = 2,348.16 × 1,152.16
4. Step 4: Simplify right side
   1,564.30x = 2,705,456.03
5. Step 5: Solve for x
   x = 2,705,456.03/1,564.30
6. Step 6: Final answer
   x = 1,729.50