Finding the Fourth Proportional to 10,153.92, 14,009.56 and 5,677.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,153.92 : 14,009.56 = 5,677.16 : x
2. Step 2: Convert to fraction form
   10,153.92/14,009.56 = 5,677.16/x
3. Step 3: Cross multiply
   10,153.92x = 14,009.56 × 5,677.16
4. Step 4: Simplify right side
   10,153.92x = 79,534,513.65
5. Step 5: Solve for x
   x = 79,534,513.65/10,153.92
6. Step 6: Final answer
   x = 7,832.89