Finding the Fourth Proportional to 1,564.57, 2,348.41 and 1,390.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.57 : 2,348.41 = 1,390.02 : x
2. Step 2: Convert to fraction form
   1,564.57/2,348.41 = 1,390.02/x
3. Step 3: Cross multiply
   1,564.57x = 2,348.41 × 1,390.02
4. Step 4: Simplify right side
   1,564.57x = 3,264,336.87
5. Step 5: Solve for x
   x = 3,264,336.87/1,564.57
6. Step 6: Final answer
   x = 2,086.41