Finding the Fourth Proportional to 10,032.12, 13,843.98 and 5,494.77

Step by Step Solution

1. Step 1: Write the proportion equation
   10,032.12 : 13,843.98 = 5,494.77 : x
2. Step 2: Convert to fraction form
   10,032.12/13,843.98 = 5,494.77/x
3. Step 3: Cross multiply
   10,032.12x = 13,843.98 × 5,494.77
4. Step 4: Simplify right side
   10,032.12x = 76,069,485.98
5. Step 5: Solve for x
   x = 76,069,485.98/10,032.12
6. Step 6: Final answer
   x = 7,582.59