Finding the Fourth Proportional to 10,059.35, 13,881.93 and 5,583.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,059.35 : 13,881.93 = 5,583.10 : x
2. Step 2: Convert to fraction form
   10,059.35/13,881.93 = 5,583.10/x
3. Step 3: Cross multiply
   10,059.35x = 13,881.93 × 5,583.10
4. Step 4: Simplify right side
   10,059.35x = 77,504,121.04
5. Step 5: Solve for x
   x = 77,504,121.04/10,059.35
6. Step 6: Final answer
   x = 7,704.69