Finding the Fourth Proportional to 10,567.56, 15,853.74 and 5,634.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,567.56 : 15,853.74 = 5,634.60 : x
2. Step 2: Convert to fraction form
   10,567.56/15,853.74 = 5,634.60/x
3. Step 3: Cross multiply
   10,567.56x = 15,853.74 × 5,634.60
4. Step 4: Simplify right side
   10,567.56x = 89,329,483.40
5. Step 5: Solve for x
   x = 89,329,483.40/10,567.56
6. Step 6: Final answer
   x = 8,453.18