Finding the Fourth Proportional to 10,096.84, 13,907.46 and 7,858.54

Step by Step Solution

1. Step 1: Write the proportion equation
   10,096.84 : 13,907.46 = 7,858.54 : x
2. Step 2: Convert to fraction form
   10,096.84/13,907.46 = 7,858.54/x
3. Step 3: Cross multiply
   10,096.84x = 13,907.46 × 7,858.54
4. Step 4: Simplify right side
   10,096.84x = 109,292,330.71
5. Step 5: Solve for x
   x = 109,292,330.71/10,096.84
6. Step 6: Final answer
   x = 10,824.41