Finding the Fourth Proportional to 10,056.50, 13,878.69 and 5,581.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,056.50 : 13,878.69 = 5,581.10 : x
2. Step 2: Convert to fraction form
   10,056.50/13,878.69 = 5,581.10/x
3. Step 3: Cross multiply
   10,056.50x = 13,878.69 × 5,581.10
4. Step 4: Simplify right side
   10,056.50x = 77,458,287.37
5. Step 5: Solve for x
   x = 77,458,287.37/10,056.50
6. Step 6: Final answer
   x = 7,702.31