Finding the Fourth Proportional to 10,583.89, 15,876.47 and 3,563.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,583.89 : 15,876.47 = 3,563.30 : x
2. Step 2: Convert to fraction form
   10,583.89/15,876.47 = 3,563.30/x
3. Step 3: Cross multiply
   10,583.89x = 15,876.47 × 3,563.30
4. Step 4: Simplify right side
   10,583.89x = 56,572,625.55
5. Step 5: Solve for x
   x = 56,572,625.55/10,583.89
6. Step 6: Final answer
   x = 5,345.16