Finding the Fourth Proportional to 10,127, 15,197.25 and 3,892.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,127 : 15,197.25 = 3,892.16 : x
2. Step 2: Convert to fraction form
   10,127/15,197.25 = 3,892.16/x
3. Step 3: Cross multiply
   10,127x = 15,197.25 × 3,892.16
4. Step 4: Simplify right side
   10,127x = 59,150,128.56
5. Step 5: Solve for x
   x = 59,150,128.56/10,127
6. Step 6: Final answer
   x = 5,840.83