Finding the Fourth Proportional to 10,552.55, 14,561.91 and 5,836.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,552.55 : 14,561.91 = 5,836.50 : x
2. Step 2: Convert to fraction form
   10,552.55/14,561.91 = 5,836.50/x
3. Step 3: Cross multiply
   10,552.55x = 14,561.91 × 5,836.50
4. Step 4: Simplify right side
   10,552.55x = 84,990,587.72
5. Step 5: Solve for x
   x = 84,990,587.72/10,552.55
6. Step 6: Final answer
   x = 8,054.04