Finding the Fourth Proportional to 10,646.50, 14,692.17 and 5,931.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,646.50 : 14,692.17 = 5,931.09 : x
2. Step 2: Convert to fraction form
   10,646.50/14,692.17 = 5,931.09/x
3. Step 3: Cross multiply
   10,646.50x = 14,692.17 × 5,931.09
4. Step 4: Simplify right side
   10,646.50x = 87,140,582.57
5. Step 5: Solve for x
   x = 87,140,582.57/10,646.50
6. Step 6: Final answer
   x = 8,184.90