Finding the Fourth Proportional to 10,056.58, 13,878.83 and 5,581.17

Step by Step Solution

1. Step 1: Write the proportion equation
   10,056.58 : 13,878.83 = 5,581.17 : x
2. Step 2: Convert to fraction form
   10,056.58/13,878.83 = 5,581.17/x
3. Step 3: Cross multiply
   10,056.58x = 13,878.83 × 5,581.17
4. Step 4: Simplify right side
   10,056.58x = 77,460,109.63
5. Step 5: Solve for x
   x = 77,460,109.63/10,056.58
6. Step 6: Final answer
   x = 7,702.43