Finding the Fourth Proportional to 10,585.06, 15,876.98 and 3,564.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,585.06 : 15,876.98 = 3,564.78 : x
2. Step 2: Convert to fraction form
   10,585.06/15,876.98 = 3,564.78/x
3. Step 3: Cross multiply
   10,585.06x = 15,876.98 × 3,564.78
4. Step 4: Simplify right side
   10,585.06x = 56,597,940.76
5. Step 5: Solve for x
   x = 56,597,940.76/10,585.06
6. Step 6: Final answer
   x = 5,346.96