Finding the Fourth Proportional to 2,402.14, 3,315.57 and 1,564.93

Step by Step Solution

1. Step 1: Write the proportion equation
   2,402.14 : 3,315.57 = 1,564.93 : x
2. Step 2: Convert to fraction form
   2,402.14/3,315.57 = 1,564.93/x
3. Step 3: Cross multiply
   2,402.14x = 3,315.57 × 1,564.93
4. Step 4: Simplify right side
   2,402.14x = 5,188,634.96
5. Step 5: Solve for x
   x = 5,188,634.96/2,402.14
6. Step 6: Final answer
   x = 2,160.01