Finding the Fourth Proportional to 10,069.60, 15,100.81 and 3,827.95

Step by Step Solution

1. Step 1: Write the proportion equation
   10,069.60 : 15,100.81 = 3,827.95 : x
2. Step 2: Convert to fraction form
   10,069.60/15,100.81 = 3,827.95/x
3. Step 3: Cross multiply
   10,069.60x = 15,100.81 × 3,827.95
4. Step 4: Simplify right side
   10,069.60x = 57,805,145.64
5. Step 5: Solve for x
   x = 57,805,145.64/10,069.60
6. Step 6: Final answer
   x = 5,740.56