Finding the Fourth Proportional to 10,585.25, 15,878.54 and 3,564.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,585.25 : 15,878.54 = 3,564.69 : x
2. Step 2: Convert to fraction form
   10,585.25/15,878.54 = 3,564.69/x
3. Step 3: Cross multiply
   10,585.25x = 15,878.54 × 3,564.69
4. Step 4: Simplify right side
   10,585.25x = 56,602,072.75
5. Step 5: Solve for x
   x = 56,602,072.75/10,585.25
6. Step 6: Final answer
   x = 5,347.26