Finding the Fourth Proportional to 10,503.83, 15,761.89 and 5,827.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,503.83 : 15,761.89 = 5,827.75 : x
2. Step 2: Convert to fraction form
   10,503.83/15,761.89 = 5,827.75/x
3. Step 3: Cross multiply
   10,503.83x = 15,761.89 × 5,827.75
4. Step 4: Simplify right side
   10,503.83x = 91,856,322.33
5. Step 5: Solve for x
   x = 91,856,322.33/10,503.83
6. Step 6: Final answer
   x = 8,745.03