Finding the Fourth Proportional to 9,832.58, 13,569.28 and 5,583.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,832.58 : 13,569.28 = 5,583.82 : x
2. Step 2: Convert to fraction form
   9,832.58/13,569.28 = 5,583.82/x
3. Step 3: Cross multiply
   9,832.58x = 13,569.28 × 5,583.82
4. Step 4: Simplify right side
   9,832.58x = 75,768,417.05
5. Step 5: Solve for x
   x = 75,768,417.05/9,832.58
6. Step 6: Final answer
   x = 7,705.85