Finding the Fourth Proportional to 10,155.12, 14,013.10 and 5,678.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,155.12 : 14,013.10 = 5,678.76 : x
2. Step 2: Convert to fraction form
   10,155.12/14,013.10 = 5,678.76/x
3. Step 3: Cross multiply
   10,155.12x = 14,013.10 × 5,678.76
4. Step 4: Simplify right side
   10,155.12x = 79,577,012.58
5. Step 5: Solve for x
   x = 79,577,012.58/10,155.12
6. Step 6: Final answer
   x = 7,836.15