Finding the Fourth Proportional to 10,552.88, 14,563.59 and 5,837.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,552.88 : 14,563.59 = 5,837.60 : x
2. Step 2: Convert to fraction form
   10,552.88/14,563.59 = 5,837.60/x
3. Step 3: Cross multiply
   10,552.88x = 14,563.59 × 5,837.60
4. Step 4: Simplify right side
   10,552.88x = 85,016,412.98
5. Step 5: Solve for x
   x = 85,016,412.98/10,552.88
6. Step 6: Final answer
   x = 8,056.23