Finding the Fourth Proportional to 9,776.34, 13,491.18 and 5,584.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,776.34 : 13,491.18 = 5,584.50 : x
2. Step 2: Convert to fraction form
   9,776.34/13,491.18 = 5,584.50/x
3. Step 3: Cross multiply
   9,776.34x = 13,491.18 × 5,584.50
4. Step 4: Simplify right side
   9,776.34x = 75,341,494.71
5. Step 5: Solve for x
   x = 75,341,494.71/9,776.34
6. Step 6: Final answer
   x = 7,706.51