Finding the Fourth Proportional to 10,122.29, 15,187.82 and 5,436.83

Step by Step Solution

1. Step 1: Write the proportion equation
   10,122.29 : 15,187.82 = 5,436.83 : x
2. Step 2: Convert to fraction form
   10,122.29/15,187.82 = 5,436.83/x
3. Step 3: Cross multiply
   10,122.29x = 15,187.82 × 5,436.83
4. Step 4: Simplify right side
   10,122.29x = 82,573,492.29
5. Step 5: Solve for x
   x = 82,573,492.29/10,122.29
6. Step 6: Final answer
   x = 8,157.59