Finding the Fourth Proportional to 2,088.89, 2,884.61 and 1,564.01

Step by Step Solution

1. Step 1: Write the proportion equation
   2,088.89 : 2,884.61 = 1,564.01 : x
2. Step 2: Convert to fraction form
   2,088.89/2,884.61 = 1,564.01/x
3. Step 3: Cross multiply
   2,088.89x = 2,884.61 × 1,564.01
4. Step 4: Simplify right side
   2,088.89x = 4,511,558.89
5. Step 5: Solve for x
   x = 4,511,558.89/2,088.89
6. Step 6: Final answer
   x = 2,159.79