Finding the Fourth Proportional to 9,692.89, 13,377.94 and 5,713.76

Step by Step Solution

1. Step 1: Write the proportion equation
   9,692.89 : 13,377.94 = 5,713.76 : x
2. Step 2: Convert to fraction form
   9,692.89/13,377.94 = 5,713.76/x
3. Step 3: Cross multiply
   9,692.89x = 13,377.94 × 5,713.76
4. Step 4: Simplify right side
   9,692.89x = 76,438,357.61
5. Step 5: Solve for x
   x = 76,438,357.61/9,692.89
6. Step 6: Final answer
   x = 7,886.03