Finding the Fourth Proportional to 10,077.84, 13,906.56 and 5,886.48

Step by Step Solution

1. Step 1: Write the proportion equation
   10,077.84 : 13,906.56 = 5,886.48 : x
2. Step 2: Convert to fraction form
   10,077.84/13,906.56 = 5,886.48/x
3. Step 3: Cross multiply
   10,077.84x = 13,906.56 × 5,886.48
4. Step 4: Simplify right side
   10,077.84x = 81,860,687.31
5. Step 5: Solve for x
   x = 81,860,687.31/10,077.84
6. Step 6: Final answer
   x = 8,122.84