Finding the Fourth Proportional to 10,069.79, 15,102.40 and 3,827.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,069.79 : 15,102.40 = 3,827.57 : x
2. Step 2: Convert to fraction form
   10,069.79/15,102.40 = 3,827.57/x
3. Step 3: Cross multiply
   10,069.79x = 15,102.40 × 3,827.57
4. Step 4: Simplify right side
   10,069.79x = 57,805,500.21
5. Step 5: Solve for x
   x = 57,805,500.21/10,069.79
6. Step 6: Final answer
   x = 5,740.49