Finding the Fourth Proportional to 10,434.09, 15,633.54 and 5,162.07

Step by Step Solution

1. Step 1: Write the proportion equation
   10,434.09 : 15,633.54 = 5,162.07 : x
2. Step 2: Convert to fraction form
   10,434.09/15,633.54 = 5,162.07/x
3. Step 3: Cross multiply
   10,434.09x = 15,633.54 × 5,162.07
4. Step 4: Simplify right side
   10,434.09x = 80,701,427.83
5. Step 5: Solve for x
   x = 80,701,427.83/10,434.09
6. Step 6: Final answer
   x = 7,734.40