Finding the Fourth Proportional to 10,384.78, 14,330.88 and 5,668.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,384.78 : 14,330.88 = 5,668.96 : x
2. Step 2: Convert to fraction form
   10,384.78/14,330.88 = 5,668.96/x
3. Step 3: Cross multiply
   10,384.78x = 14,330.88 × 5,668.96
4. Step 4: Simplify right side
   10,384.78x = 81,241,185.48
5. Step 5: Solve for x
   x = 81,241,185.48/10,384.78
6. Step 6: Final answer
   x = 7,823.10