Finding the Fourth Proportional to 9,692.96, 13,376.16 and 5,714.24

Step by Step Solution

1. Step 1: Write the proportion equation
   9,692.96 : 13,376.16 = 5,714.24 : x
2. Step 2: Convert to fraction form
   9,692.96/13,376.16 = 5,714.24/x
3. Step 3: Cross multiply
   9,692.96x = 13,376.16 × 5,714.24
4. Step 4: Simplify right side
   9,692.96x = 76,434,588.52
5. Step 5: Solve for x
   x = 76,434,588.52/9,692.96
6. Step 6: Final answer
   x = 7,885.58