Finding the Fourth Proportional to 7,748.32, 10,692.72 and 4,211.60

Step by Step Solution

1. Step 1: Write the proportion equation
   7,748.32 : 10,692.72 = 4,211.60 : x
2. Step 2: Convert to fraction form
   7,748.32/10,692.72 = 4,211.60/x
3. Step 3: Cross multiply
   7,748.32x = 10,692.72 × 4,211.60
4. Step 4: Simplify right side
   7,748.32x = 45,033,459.55
5. Step 5: Solve for x
   x = 45,033,459.55/7,748.32
6. Step 6: Final answer
   x = 5,812.03