Finding the Fourth Proportional to 1,984.71, 2,735.72 and 1,564.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,984.71 : 2,735.72 = 1,564.37 : x
2. Step 2: Convert to fraction form
   1,984.71/2,735.72 = 1,564.37/x
3. Step 3: Cross multiply
   1,984.71x = 2,735.72 × 1,564.37
4. Step 4: Simplify right side
   1,984.71x = 4,279,656.80
5. Step 5: Solve for x
   x = 4,279,656.80/1,984.71
6. Step 6: Final answer
   x = 2,156.31