Finding the Fourth Proportional to 10,646.82, 14,692.86 and 5,931

Step by Step Solution

1. Step 1: Write the proportion equation
   10,646.82 : 14,692.86 = 5,931 : x
2. Step 2: Convert to fraction form
   10,646.82/14,692.86 = 5,931/x
3. Step 3: Cross multiply
   10,646.82x = 14,692.86 × 5,931
4. Step 4: Simplify right side
   10,646.82x = 87,143,352.66
5. Step 5: Solve for x
   x = 87,143,352.66/10,646.82
6. Step 6: Final answer
   x = 8,184.92