Finding the Fourth Proportional to 5,477.41, 8,164.07 and 5,166.06

Step by Step Solution

1. Step 1: Write the proportion equation
   5,477.41 : 8,164.07 = 5,166.06 : x
2. Step 2: Convert to fraction form
   5,477.41/8,164.07 = 5,166.06/x
3. Step 3: Cross multiply
   5,477.41x = 8,164.07 × 5,166.06
4. Step 4: Simplify right side
   5,477.41x = 42,176,075.46
5. Step 5: Solve for x
   x = 42,176,075.46/5,477.41
6. Step 6: Final answer
   x = 7,700.00