Finding the Fourth Proportional to 10,422.84, 14,384.34 and 5,945.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,422.84 : 14,384.34 = 5,945.57 : x
2. Step 2: Convert to fraction form
   10,422.84/14,384.34 = 5,945.57/x
3. Step 3: Cross multiply
   10,422.84x = 14,384.34 × 5,945.57
4. Step 4: Simplify right side
   10,422.84x = 85,523,100.37
5. Step 5: Solve for x
   x = 85,523,100.37/10,422.84
6. Step 6: Final answer
   x = 8,205.35