Finding the Fourth Proportional to 10,496.42, 14,484.54 and 5,779.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,496.42 : 14,484.54 = 5,779.82 : x
2. Step 2: Convert to fraction form
   10,496.42/14,484.54 = 5,779.82/x
3. Step 3: Cross multiply
   10,496.42x = 14,484.54 × 5,779.82
4. Step 4: Simplify right side
   10,496.42x = 83,718,033.98
5. Step 5: Solve for x
   x = 83,718,033.98/10,496.42
6. Step 6: Final answer
   x = 7,975.87