Finding the Fourth Proportional to 2,154.86, 2,969.82 and 1,564.37

Step by Step Solution

1. Step 1: Write the proportion equation
   2,154.86 : 2,969.82 = 1,564.37 : x
2. Step 2: Convert to fraction form
   2,154.86/2,969.82 = 1,564.37/x
3. Step 3: Cross multiply
   2,154.86x = 2,969.82 × 1,564.37
4. Step 4: Simplify right side
   2,154.86x = 4,645,882.46
5. Step 5: Solve for x
   x = 4,645,882.46/2,154.86
6. Step 6: Final answer
   x = 2,156.01