Finding the Fourth Proportional to 1,564.90, 2,340.87 and 1,422.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.90 : 2,340.87 = 1,422.34 : x
2. Step 2: Convert to fraction form
   1,564.90/2,340.87 = 1,422.34/x
3. Step 3: Cross multiply
   1,564.90x = 2,340.87 × 1,422.34
4. Step 4: Simplify right side
   1,564.90x = 3,329,513.04
5. Step 5: Solve for x
   x = 3,329,513.04/1,564.90
6. Step 6: Final answer
   x = 2,127.62