Finding the Fourth Proportional to 10,152, 14,011.68 and 5,736

Step by Step Solution

1. Step 1: Write the proportion equation
   10,152 : 14,011.68 = 5,736 : x
2. Step 2: Convert to fraction form
   10,152/14,011.68 = 5,736/x
3. Step 3: Cross multiply
   10,152x = 14,011.68 × 5,736
4. Step 4: Simplify right side
   10,152x = 80,370,996.48
5. Step 5: Solve for x
   x = 80,370,996.48/10,152
6. Step 6: Final answer
   x = 7,916.76