Finding the Fourth Proportional to 10,059.59, 13,883.88 and 5,584.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,059.59 : 13,883.88 = 5,584.78 : x
2. Step 2: Convert to fraction form
   10,059.59/13,883.88 = 5,584.78/x
3. Step 3: Cross multiply
   10,059.59x = 13,883.88 × 5,584.78
4. Step 4: Simplify right side
   10,059.59x = 77,538,415.35
5. Step 5: Solve for x
   x = 77,538,415.35/10,059.59
6. Step 6: Final answer
   x = 7,707.91