Finding the Fourth Proportional to 9,679.90, 13,357.74 and 5,700.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,679.90 : 13,357.74 = 5,700.10 : x
2. Step 2: Convert to fraction form
   9,679.90/13,357.74 = 5,700.10/x
3. Step 3: Cross multiply
   9,679.90x = 13,357.74 × 5,700.10
4. Step 4: Simplify right side
   9,679.90x = 76,140,453.77
5. Step 5: Solve for x
   x = 76,140,453.77/9,679.90
6. Step 6: Final answer
   x = 7,865.83