Finding the Fourth Proportional to 7,365.78, 10,164.78 and 4,222.14

Step by Step Solution

1. Step 1: Write the proportion equation
   7,365.78 : 10,164.78 = 4,222.14 : x
2. Step 2: Convert to fraction form
   7,365.78/10,164.78 = 4,222.14/x
3. Step 3: Cross multiply
   7,365.78x = 10,164.78 × 4,222.14
4. Step 4: Simplify right side
   7,365.78x = 42,917,124.23
5. Step 5: Solve for x
   x = 42,917,124.23/7,365.78
6. Step 6: Final answer
   x = 5,826.56