Finding the Fourth Proportional to 10,423.90, 14,384.89 and 5,643.84

Step by Step Solution

1. Step 1: Write the proportion equation
   10,423.90 : 14,384.89 = 5,643.84 : x
2. Step 2: Convert to fraction form
   10,423.90/14,384.89 = 5,643.84/x
3. Step 3: Cross multiply
   10,423.90x = 14,384.89 × 5,643.84
4. Step 4: Simplify right side
   10,423.90x = 81,186,017.58
5. Step 5: Solve for x
   x = 81,186,017.58/10,423.90
6. Step 6: Final answer
   x = 7,788.45