Finding the Fourth Proportional to 10,083.76, 13,915.92 and 5,546.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,083.76 : 13,915.92 = 5,546.63 : x
2. Step 2: Convert to fraction form
   10,083.76/13,915.92 = 5,546.63/x
3. Step 3: Cross multiply
   10,083.76x = 13,915.92 × 5,546.63
4. Step 4: Simplify right side
   10,083.76x = 77,186,424.56
5. Step 5: Solve for x
   x = 77,186,424.56/10,083.76
6. Step 6: Final answer
   x = 7,654.53