Finding the Fourth Proportional to 1,564.50, 2,157.93 and 1,513.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.50 : 2,157.93 = 1,513.02 : x
2. Step 2: Convert to fraction form
   1,564.50/2,157.93 = 1,513.02/x
3. Step 3: Cross multiply
   1,564.50x = 2,157.93 × 1,513.02
4. Step 4: Simplify right side
   1,564.50x = 3,264,991.25
5. Step 5: Solve for x
   x = 3,264,991.25/1,564.50
6. Step 6: Final answer
   x = 2,086.92