Finding the Fourth Proportional to 10,119.45, 15,182.15 and 5,192.53

Step by Step Solution

1. Step 1: Write the proportion equation
   10,119.45 : 15,182.15 = 5,192.53 : x
2. Step 2: Convert to fraction form
   10,119.45/15,182.15 = 5,192.53/x
3. Step 3: Cross multiply
   10,119.45x = 15,182.15 × 5,192.53
4. Step 4: Simplify right side
   10,119.45x = 78,833,769.34
5. Step 5: Solve for x
   x = 78,833,769.34/10,119.45
6. Step 6: Final answer
   x = 7,790.32