Finding the Fourth Proportional to 7,834.50, 10,811.25 and 4,692.42

Step by Step Solution

1. Step 1: Write the proportion equation
   7,834.50 : 10,811.25 = 4,692.42 : x
2. Step 2: Convert to fraction form
   7,834.50/10,811.25 = 4,692.42/x
3. Step 3: Cross multiply
   7,834.50x = 10,811.25 × 4,692.42
4. Step 4: Simplify right side
   7,834.50x = 50,730,925.73
5. Step 5: Solve for x
   x = 50,730,925.73/7,834.50
6. Step 6: Final answer
   x = 6,475.32