Finding the Fourth Proportional to 10,059.74, 13,883.31 and 5,584.35

Step by Step Solution

1. Step 1: Write the proportion equation
   10,059.74 : 13,883.31 = 5,584.35 : x
2. Step 2: Convert to fraction form
   10,059.74/13,883.31 = 5,584.35/x
3. Step 3: Cross multiply
   10,059.74x = 13,883.31 × 5,584.35
4. Step 4: Simplify right side
   10,059.74x = 77,529,262.20
5. Step 5: Solve for x
   x = 77,529,262.20/10,059.74
6. Step 6: Final answer
   x = 7,706.89