Finding the Fourth Proportional to 10,073.60, 15,106.46 and 3,830.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,073.60 : 15,106.46 = 3,830.30 : x
2. Step 2: Convert to fraction form
   10,073.60/15,106.46 = 3,830.30/x
3. Step 3: Cross multiply
   10,073.60x = 15,106.46 × 3,830.30
4. Step 4: Simplify right side
   10,073.60x = 57,862,179.05
5. Step 5: Solve for x
   x = 57,862,179.05/10,073.60
6. Step 6: Final answer
   x = 5,743.95