Finding the Fourth Proportional to 10,423.69, 14,384.70 and 5,643.67

Step by Step Solution

1. Step 1: Write the proportion equation
   10,423.69 : 14,384.70 = 5,643.67 : x
2. Step 2: Convert to fraction form
   10,423.69/14,384.70 = 5,643.67/x
3. Step 3: Cross multiply
   10,423.69x = 14,384.70 × 5,643.67
4. Step 4: Simplify right side
   10,423.69x = 81,182,507.59
5. Step 5: Solve for x
   x = 81,182,507.59/10,423.69
6. Step 6: Final answer
   x = 7,788.27