Finding the Fourth Proportional to 10,056.72, 13,878.90 and 5,581.47

Step by Step Solution

1. Step 1: Write the proportion equation
   10,056.72 : 13,878.90 = 5,581.47 : x
2. Step 2: Convert to fraction form
   10,056.72/13,878.90 = 5,581.47/x
3. Step 3: Cross multiply
   10,056.72x = 13,878.90 × 5,581.47
4. Step 4: Simplify right side
   10,056.72x = 77,464,663.98
5. Step 5: Solve for x
   x = 77,464,663.98/10,056.72
6. Step 6: Final answer
   x = 7,702.78