Finding the Fourth Proportional to 2,292.50, 3,164.37 and 1,546.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,292.50 : 3,164.37 = 1,546.22 : x
2. Step 2: Convert to fraction form
   2,292.50/3,164.37 = 1,546.22/x
3. Step 3: Cross multiply
   2,292.50x = 3,164.37 × 1,546.22
4. Step 4: Simplify right side
   2,292.50x = 4,892,812.18
5. Step 5: Solve for x
   x = 4,892,812.18/2,292.50
6. Step 6: Final answer
   x = 2,134.27