Finding the Fourth Proportional to 22,742.34, 31,384.50 and 13,184.10

Step by Step Solution

1. Step 1: Write the proportion equation
   22,742.34 : 31,384.50 = 13,184.10 : x
2. Step 2: Convert to fraction form
   22,742.34/31,384.50 = 13,184.10/x
3. Step 3: Cross multiply
   22,742.34x = 31,384.50 × 13,184.10
4. Step 4: Simplify right side
   22,742.34x = 413,776,337.01
5. Step 5: Solve for x
   x = 413,776,337.01/22,742.34
6. Step 6: Final answer
   x = 18,194.10