Finding the Fourth Proportional to 10,114.84, 15,169.82 and 5,181.94

Step by Step Solution

1. Step 1: Write the proportion equation
   10,114.84 : 15,169.82 = 5,181.94 : x
2. Step 2: Convert to fraction form
   10,114.84/15,169.82 = 5,181.94/x
3. Step 3: Cross multiply
   10,114.84x = 15,169.82 × 5,181.94
4. Step 4: Simplify right side
   10,114.84x = 78,609,097.05
5. Step 5: Solve for x
   x = 78,609,097.05/10,114.84
6. Step 6: Final answer
   x = 7,771.66