Finding the Fourth Proportional to 10,420.52, 14,380.71 and 5,945

Step by Step Solution

1. Step 1: Write the proportion equation
   10,420.52 : 14,380.71 = 5,945 : x
2. Step 2: Convert to fraction form
   10,420.52/14,380.71 = 5,945/x
3. Step 3: Cross multiply
   10,420.52x = 14,380.71 × 5,945
4. Step 4: Simplify right side
   10,420.52x = 85,493,320.95
5. Step 5: Solve for x
   x = 85,493,320.95/10,420.52
6. Step 6: Final answer
   x = 8,204.32