Finding the Fourth Proportional to 21,184.81, 31,776.98 and 5,174.48

Step by Step Solution

1. Step 1: Write the proportion equation
   21,184.81 : 31,776.98 = 5,174.48 : x
2. Step 2: Convert to fraction form
   21,184.81/31,776.98 = 5,174.48/x
3. Step 3: Cross multiply
   21,184.81x = 31,776.98 × 5,174.48
4. Step 4: Simplify right side
   21,184.81x = 164,429,401.04
5. Step 5: Solve for x
   x = 164,429,401.04/21,184.81
6. Step 6: Final answer
   x = 7,761.67