Finding the Fourth Proportional to 10,275.46, 15,402.35 and 5,827.55

Step by Step Solution

1. Step 1: Write the proportion equation
   10,275.46 : 15,402.35 = 5,827.55 : x
2. Step 2: Convert to fraction form
   10,275.46/15,402.35 = 5,827.55/x
3. Step 3: Cross multiply
   10,275.46x = 15,402.35 × 5,827.55
4. Step 4: Simplify right side
   10,275.46x = 89,757,902.30
5. Step 5: Solve for x
   x = 89,757,902.30/10,275.46
6. Step 6: Final answer
   x = 8,735.17