Finding the Fourth Proportional to 10,585.56, 15,878.30 and 2,688.15

Step by Step Solution

1. Step 1: Write the proportion equation
   10,585.56 : 15,878.30 = 2,688.15 : x
2. Step 2: Convert to fraction form
   10,585.56/15,878.30 = 2,688.15/x
3. Step 3: Cross multiply
   10,585.56x = 15,878.30 × 2,688.15
4. Step 4: Simplify right side
   10,585.56x = 42,683,238.70
5. Step 5: Solve for x
   x = 42,683,238.70/10,585.56
6. Step 6: Final answer
   x = 4,032.21