Finding the Fourth Proportional to 10,054.40, 13,885.94 and 7,842.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,054.40 : 13,885.94 = 7,842.56 : x
2. Step 2: Convert to fraction form
   10,054.40/13,885.94 = 7,842.56/x
3. Step 3: Cross multiply
   10,054.40x = 13,885.94 × 7,842.56
4. Step 4: Simplify right side
   10,054.40x = 108,901,317.61
5. Step 5: Solve for x
   x = 108,901,317.61/10,054.40
6. Step 6: Final answer
   x = 10,831.21