Finding the Fourth Proportional to 7,468.50, 10,306.53 and 4,156.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,468.50 : 10,306.53 = 4,156.50 : x
2. Step 2: Convert to fraction form
   7,468.50/10,306.53 = 4,156.50/x
3. Step 3: Cross multiply
   7,468.50x = 10,306.53 × 4,156.50
4. Step 4: Simplify right side
   7,468.50x = 42,839,091.95
5. Step 5: Solve for x
   x = 42,839,091.95/7,468.50
6. Step 6: Final answer
   x = 5,735.97