Finding the Fourth Proportional to 9,858.63, 14,775.12 and 5,166.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,858.63 : 14,775.12 = 5,166.78 : x
2. Step 2: Convert to fraction form
   9,858.63/14,775.12 = 5,166.78/x
3. Step 3: Cross multiply
   9,858.63x = 14,775.12 × 5,166.78
4. Step 4: Simplify right side
   9,858.63x = 76,339,794.51
5. Step 5: Solve for x
   x = 76,339,794.51/9,858.63
6. Step 6: Final answer
   x = 7,743.45