Finding the Fourth Proportional to 14,591.76, 21,749 and 13,761.48

Step by Step Solution

1. Step 1: Write the proportion equation
   14,591.76 : 21,749 = 13,761.48 : x
2. Step 2: Convert to fraction form
   14,591.76/21,749 = 13,761.48/x
3. Step 3: Cross multiply
   14,591.76x = 21,749 × 13,761.48
4. Step 4: Simplify right side
   14,591.76x = 299,298,428.52
5. Step 5: Solve for x
   x = 299,298,428.52/14,591.76
6. Step 6: Final answer
   x = 20,511.47