Finding the Fourth Proportional to 10,426.49, 14,384.98 and 5,947.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,426.49 : 14,384.98 = 5,947.02 : x
2. Step 2: Convert to fraction form
   10,426.49/14,384.98 = 5,947.02/x
3. Step 3: Cross multiply
   10,426.49x = 14,384.98 × 5,947.02
4. Step 4: Simplify right side
   10,426.49x = 85,547,662.10
5. Step 5: Solve for x
   x = 85,547,662.10/10,426.49
6. Step 6: Final answer
   x = 8,204.84