Finding the Fourth Proportional to 10,495.17, 14,482.82 and 5,778.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,495.17 : 14,482.82 = 5,778.57 : x
2. Step 2: Convert to fraction form
   10,495.17/14,482.82 = 5,778.57/x
3. Step 3: Cross multiply
   10,495.17x = 14,482.82 × 5,778.57
4. Step 4: Simplify right side
   10,495.17x = 83,689,960.27
5. Step 5: Solve for x
   x = 83,689,960.27/10,495.17
6. Step 6: Final answer
   x = 7,974.14