Finding the Fourth Proportional to 7,561.72, 10,434.86 and 4,204.54

Step by Step Solution

1. Step 1: Write the proportion equation
   7,561.72 : 10,434.86 = 4,204.54 : x
2. Step 2: Convert to fraction form
   7,561.72/10,434.86 = 4,204.54/x
3. Step 3: Cross multiply
   7,561.72x = 10,434.86 × 4,204.54
4. Step 4: Simplify right side
   7,561.72x = 43,873,786.26
5. Step 5: Solve for x
   x = 43,873,786.26/7,561.72
6. Step 6: Final answer
   x = 5,802.09