Finding the Fourth Proportional to 7,148.42, 9,866.01 and 4,166.00

Step by Step Solution

1. Step 1: Write the proportion equation
   7,148.42 : 9,866.01 = 4,166.00 : x
2. Step 2: Convert to fraction form
   7,148.42/9,866.01 = 4,166.00/x
3. Step 3: Cross multiply
   7,148.42x = 9,866.01 × 4,166.00
4. Step 4: Simplify right side
   7,148.42x = 41,101,748.33
5. Step 5: Solve for x
   x = 41,101,748.33/7,148.42
6. Step 6: Final answer
   x = 5,749.77