Finding the Fourth Proportional to 10,109.34, 15,167.61 and 5,181.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,109.34 : 15,167.61 = 5,181.30 : x
2. Step 2: Convert to fraction form
   10,109.34/15,167.61 = 5,181.30/x
3. Step 3: Cross multiply
   10,109.34x = 15,167.61 × 5,181.30
4. Step 4: Simplify right side
   10,109.34x = 78,587,937.69
5. Step 5: Solve for x
   x = 78,587,937.69/10,109.34
6. Step 6: Final answer
   x = 7,773.80