Finding the Fourth Proportional to 10,077.46, 15,116.20 and 3,836.00

Step by Step Solution

1. Step 1: Write the proportion equation
   10,077.46 : 15,116.20 = 3,836.00 : x
2. Step 2: Convert to fraction form
   10,077.46/15,116.20 = 3,836.00/x
3. Step 3: Cross multiply
   10,077.46x = 15,116.20 × 3,836.00
4. Step 4: Simplify right side
   10,077.46x = 57,985,771.40
5. Step 5: Solve for x
   x = 57,985,771.40/10,077.46
6. Step 6: Final answer
   x = 5,754.01