Finding the Fourth Proportional to 9,941.40, 13,718.50 and 5,692.46

Step by Step Solution

1. Step 1: Write the proportion equation
   9,941.40 : 13,718.50 = 5,692.46 : x
2. Step 2: Convert to fraction form
   9,941.40/13,718.50 = 5,692.46/x
3. Step 3: Cross multiply
   9,941.40x = 13,718.50 × 5,692.46
4. Step 4: Simplify right side
   9,941.40x = 78,091,929.69
5. Step 5: Solve for x
   x = 78,091,929.69/9,941.40
6. Step 6: Final answer
   x = 7,855.22