Finding the Fourth Proportional to 10,055.84, 13,877.06 and 5,864.90

Step by Step Solution

1. Step 1: Write the proportion equation
   10,055.84 : 13,877.06 = 5,864.90 : x
2. Step 2: Convert to fraction form
   10,055.84/13,877.06 = 5,864.90/x
3. Step 3: Cross multiply
   10,055.84x = 13,877.06 × 5,864.90
4. Step 4: Simplify right side
   10,055.84x = 81,387,470.48
5. Step 5: Solve for x
   x = 81,387,470.48/10,055.84
6. Step 6: Final answer
   x = 8,093.56