Finding the Fourth Proportional to 10,424.16, 14,384.88 and 5,708.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,424.16 : 14,384.88 = 5,708.16 : x
2. Step 2: Convert to fraction form
   10,424.16/14,384.88 = 5,708.16/x
3. Step 3: Cross multiply
   10,424.16x = 14,384.88 × 5,708.16
4. Step 4: Simplify right side
   10,424.16x = 82,111,196.62
5. Step 5: Solve for x
   x = 82,111,196.62/10,424.16
6. Step 6: Final answer
   x = 7,877.01