Finding the Fourth Proportional to 10,058.86, 13,882.10 and 5,583.48

Step by Step Solution

1. Step 1: Write the proportion equation
   10,058.86 : 13,882.10 = 5,583.48 : x
2. Step 2: Convert to fraction form
   10,058.86/13,882.10 = 5,583.48/x
3. Step 3: Cross multiply
   10,058.86x = 13,882.10 × 5,583.48
4. Step 4: Simplify right side
   10,058.86x = 77,510,427.71
5. Step 5: Solve for x
   x = 77,510,427.71/10,058.86
6. Step 6: Final answer
   x = 7,705.69