Finding the Fourth Proportional to 10,075.69, 13,905.73 and 6,096.83

Step by Step Solution

1. Step 1: Write the proportion equation
   10,075.69 : 13,905.73 = 6,096.83 : x
2. Step 2: Convert to fraction form
   10,075.69/13,905.73 = 6,096.83/x
3. Step 3: Cross multiply
   10,075.69x = 13,905.73 × 6,096.83
4. Step 4: Simplify right side
   10,075.69x = 84,780,841.35
5. Step 5: Solve for x
   x = 84,780,841.35/10,075.69
6. Step 6: Final answer
   x = 8,414.40