Finding the Fourth Proportional to 10,056.42, 13,877.37 and 5,864.58

Step by Step Solution

1. Step 1: Write the proportion equation
   10,056.42 : 13,877.37 = 5,864.58 : x
2. Step 2: Convert to fraction form
   10,056.42/13,877.37 = 5,864.58/x
3. Step 3: Cross multiply
   10,056.42x = 13,877.37 × 5,864.58
4. Step 4: Simplify right side
   10,056.42x = 81,384,946.55
5. Step 5: Solve for x
   x = 81,384,946.55/10,056.42
6. Step 6: Final answer
   x = 8,092.83