Finding the Fourth Proportional to 10,423.82, 14,384.87 and 5,643.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,423.82 : 14,384.87 = 5,643.76 : x
2. Step 2: Convert to fraction form
   10,423.82/14,384.87 = 5,643.76/x
3. Step 3: Cross multiply
   10,423.82x = 14,384.87 × 5,643.76
4. Step 4: Simplify right side
   10,423.82x = 81,184,786.00
5. Step 5: Solve for x
   x = 81,184,786.00/10,423.82
6. Step 6: Final answer
   x = 7,788.39