Finding the Fourth Proportional to 9,858.96, 13,605.42 and 5,382.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,858.96 : 13,605.42 = 5,382.82 : x
2. Step 2: Convert to fraction form
   9,858.96/13,605.42 = 5,382.82/x
3. Step 3: Cross multiply
   9,858.96x = 13,605.42 × 5,382.82
4. Step 4: Simplify right side
   9,858.96x = 73,235,526.88
5. Step 5: Solve for x
   x = 73,235,526.88/9,858.96
6. Step 6: Final answer
   x = 7,428.32