Finding the Fourth Proportional to 6,105.84, 8,427.42 and 5,056.08

Step by Step Solution

1. Step 1: Write the proportion equation
   6,105.84 : 8,427.42 = 5,056.08 : x
2. Step 2: Convert to fraction form
   6,105.84/8,427.42 = 5,056.08/x
3. Step 3: Cross multiply
   6,105.84x = 8,427.42 × 5,056.08
4. Step 4: Simplify right side
   6,105.84x = 42,609,709.71
5. Step 5: Solve for x
   x = 42,609,709.71/6,105.84
6. Step 6: Final answer
   x = 6,978.52