Finding the Fourth Proportional to 5,225.10, 7,834.82 and 3,583.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,225.10 : 7,834.82 = 3,583.50 : x
2. Step 2: Convert to fraction form
   5,225.10/7,834.82 = 3,583.50/x
3. Step 3: Cross multiply
   5,225.10x = 7,834.82 × 3,583.50
4. Step 4: Simplify right side
   5,225.10x = 28,076,059.55
5. Step 5: Solve for x
   x = 28,076,059.55/5,225.10
6. Step 6: Final answer
   x = 5,373.31