Finding the Fourth Proportional to 9,760.05, 13,466.52 and 5,782.14

Step by Step Solution

1. Step 1: Write the proportion equation
   9,760.05 : 13,466.52 = 5,782.14 : x
2. Step 2: Convert to fraction form
   9,760.05/13,466.52 = 5,782.14/x
3. Step 3: Cross multiply
   9,760.05x = 13,466.52 × 5,782.14
4. Step 4: Simplify right side
   9,760.05x = 77,865,303.95
5. Step 5: Solve for x
   x = 77,865,303.95/9,760.05
6. Step 6: Final answer
   x = 7,977.96