Finding the Fourth Proportional to 10,193.47, 14,066.81 and 5,947.00

Step by Step Solution

1. Step 1: Write the proportion equation
   10,193.47 : 14,066.81 = 5,947.00 : x
2. Step 2: Convert to fraction form
   10,193.47/14,066.81 = 5,947.00/x
3. Step 3: Cross multiply
   10,193.47x = 14,066.81 × 5,947.00
4. Step 4: Simplify right side
   10,193.47x = 83,655,263.60
5. Step 5: Solve for x
   x = 83,655,263.60/10,193.47
6. Step 6: Final answer
   x = 8,206.75