Finding the Fourth Proportional to 7,770.42, 10,716.57 and 5,251.86

Step by Step Solution

1. Step 1: Write the proportion equation
   7,770.42 : 10,716.57 = 5,251.86 : x
2. Step 2: Convert to fraction form
   7,770.42/10,716.57 = 5,251.86/x
3. Step 3: Cross multiply
   7,770.42x = 10,716.57 × 5,251.86
4. Step 4: Simplify right side
   7,770.42x = 56,281,925.32
5. Step 5: Solve for x
   x = 56,281,925.32/7,770.42
6. Step 6: Final answer
   x = 7,243.10