Finding the Fourth Proportional to 10,423.67, 14,384.64 and 5,643.59

Step by Step Solution

1. Step 1: Write the proportion equation
   10,423.67 : 14,384.64 = 5,643.59 : x
2. Step 2: Convert to fraction form
   10,423.67/14,384.64 = 5,643.59/x
3. Step 3: Cross multiply
   10,423.67x = 14,384.64 × 5,643.59
4. Step 4: Simplify right side
   10,423.67x = 81,181,040.61
5. Step 5: Solve for x
   x = 81,181,040.61/10,423.67
6. Step 6: Final answer
   x = 7,788.14