Finding the Fourth Proportional to 10,154.83, 14,013.84 and 5,678.54

Step by Step Solution

1. Step 1: Write the proportion equation
   10,154.83 : 14,013.84 = 5,678.54 : x
2. Step 2: Convert to fraction form
   10,154.83/14,013.84 = 5,678.54/x
3. Step 3: Cross multiply
   10,154.83x = 14,013.84 × 5,678.54
4. Step 4: Simplify right side
   10,154.83x = 79,578,150.99
5. Step 5: Solve for x
   x = 79,578,150.99/10,154.83
6. Step 6: Final answer
   x = 7,836.48