Finding the Fourth Proportional to 10,099.89, 15,142.55 and 3,858.84

Step by Step Solution

1. Step 1: Write the proportion equation
   10,099.89 : 15,142.55 = 3,858.84 : x
2. Step 2: Convert to fraction form
   10,099.89/15,142.55 = 3,858.84/x
3. Step 3: Cross multiply
   10,099.89x = 15,142.55 × 3,858.84
4. Step 4: Simplify right side
   10,099.89x = 58,432,658.35
5. Step 5: Solve for x
   x = 58,432,658.35/10,099.89
6. Step 6: Final answer
   x = 5,785.47