Finding the Fourth Proportional to 9,776, 13,490.88 and 5,584.34

Step by Step Solution

1. Step 1: Write the proportion equation
   9,776 : 13,490.88 = 5,584.34 : x
2. Step 2: Convert to fraction form
   9,776/13,490.88 = 5,584.34/x
3. Step 3: Cross multiply
   9,776x = 13,490.88 × 5,584.34
4. Step 4: Simplify right side
   9,776x = 75,337,660.82
5. Step 5: Solve for x
   x = 75,337,660.82/9,776
6. Step 6: Final answer
   x = 7,706.39