Finding the Fourth Proportional to 5,902.50, 8,148.82 and 3,915.78

Step by Step Solution

1. Step 1: Write the proportion equation
   5,902.50 : 8,148.82 = 3,915.78 : x
2. Step 2: Convert to fraction form
   5,902.50/8,148.82 = 3,915.78/x
3. Step 3: Cross multiply
   5,902.50x = 8,148.82 × 3,915.78
4. Step 4: Simplify right side
   5,902.50x = 31,908,986.38
5. Step 5: Solve for x
   x = 31,908,986.38/5,902.50
6. Step 6: Final answer
   x = 5,406.01