Finding the Fourth Proportional to 10,423.64, 14,384.59 and 5,643.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,423.64 : 14,384.59 = 5,643.56 : x
2. Step 2: Convert to fraction form
   10,423.64/14,384.59 = 5,643.56/x
3. Step 3: Cross multiply
   10,423.64x = 14,384.59 × 5,643.56
4. Step 4: Simplify right side
   10,423.64x = 81,180,318.59
5. Step 5: Solve for x
   x = 81,180,318.59/10,423.64
6. Step 6: Final answer
   x = 7,788.10