Finding the Fourth Proportional to 5,882.50, 8,117.16 and 3,491.60

Step by Step Solution

1. Step 1: Write the proportion equation
   5,882.50 : 8,117.16 = 3,491.60 : x
2. Step 2: Convert to fraction form
   5,882.50/8,117.16 = 3,491.60/x
3. Step 3: Cross multiply
   5,882.50x = 8,117.16 × 3,491.60
4. Step 4: Simplify right side
   5,882.50x = 28,341,875.86
5. Step 5: Solve for x
   x = 28,341,875.86/5,882.50
6. Step 6: Final answer
   x = 4,818.00