Finding the Fourth Proportional to 7,851.96, 10,824.30 and 5,486.76

Step by Step Solution

1. Step 1: Write the proportion equation
   7,851.96 : 10,824.30 = 5,486.76 : x
2. Step 2: Convert to fraction form
   7,851.96/10,824.30 = 5,486.76/x
3. Step 3: Cross multiply
   7,851.96x = 10,824.30 × 5,486.76
4. Step 4: Simplify right side
   7,851.96x = 59,390,336.27
5. Step 5: Solve for x
   x = 59,390,336.27/7,851.96
6. Step 6: Final answer
   x = 7,563.76