Finding the Fourth Proportional to 13,854.60, 20,784.72 and 5,089.56

Step by Step Solution

1. Step 1: Write the proportion equation
   13,854.60 : 20,784.72 = 5,089.56 : x
2. Step 2: Convert to fraction form
   13,854.60/20,784.72 = 5,089.56/x
3. Step 3: Cross multiply
   13,854.60x = 20,784.72 × 5,089.56
4. Step 4: Simplify right side
   13,854.60x = 105,785,079.52
5. Step 5: Solve for x
   x = 105,785,079.52/13,854.60
6. Step 6: Final answer
   x = 7,635.38