Finding the Fourth Proportional to 7,544.61, 10,410.61 and 4,186.96

Step by Step Solution

1. Step 1: Write the proportion equation
   7,544.61 : 10,410.61 = 4,186.96 : x
2. Step 2: Convert to fraction form
   7,544.61/10,410.61 = 4,186.96/x
3. Step 3: Cross multiply
   7,544.61x = 10,410.61 × 4,186.96
4. Step 4: Simplify right side
   7,544.61x = 43,588,825.89
5. Step 5: Solve for x
   x = 43,588,825.89/7,544.61
6. Step 6: Final answer
   x = 5,777.48