Finding the Fourth Proportional to 13,824.42, 20,737.71 and 5,059.14

Step by Step Solution

1. Step 1: Write the proportion equation
   13,824.42 : 20,737.71 = 5,059.14 : x
2. Step 2: Convert to fraction form
   13,824.42/20,737.71 = 5,059.14/x
3. Step 3: Cross multiply
   13,824.42x = 20,737.71 × 5,059.14
4. Step 4: Simplify right side
   13,824.42x = 104,914,978.17
5. Step 5: Solve for x
   x = 104,914,978.17/13,824.42
6. Step 6: Final answer
   x = 7,589.11