Finding the Fourth Proportional to 10,059.33, 13,881.63 and 5,583.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,059.33 : 13,881.63 = 5,583.02 : x
2. Step 2: Convert to fraction form
   10,059.33/13,881.63 = 5,583.02/x
3. Step 3: Cross multiply
   10,059.33x = 13,881.63 × 5,583.02
4. Step 4: Simplify right side
   10,059.33x = 77,501,348.51
5. Step 5: Solve for x
   x = 77,501,348.51/10,059.33
6. Step 6: Final answer
   x = 7,704.42