Finding the Fourth Proportional to 10,789.20, 14,871.60 and 7,805.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,789.20 : 14,871.60 = 7,805.16 : x
2. Step 2: Convert to fraction form
   10,789.20/14,871.60 = 7,805.16/x
3. Step 3: Cross multiply
   10,789.20x = 14,871.60 × 7,805.16
4. Step 4: Simplify right side
   10,789.20x = 116,075,217.46
5. Step 5: Solve for x
   x = 116,075,217.46/10,789.20
6. Step 6: Final answer
   x = 10,758.46