Finding the Fourth Proportional to 9,862.82, 13,610.61 and 5,386.57

Step by Step Solution

1. Step 1: Write the proportion equation
   9,862.82 : 13,610.61 = 5,386.57 : x
2. Step 2: Convert to fraction form
   9,862.82/13,610.61 = 5,386.57/x
3. Step 3: Cross multiply
   9,862.82x = 13,610.61 × 5,386.57
4. Step 4: Simplify right side
   9,862.82x = 73,314,482.95
5. Step 5: Solve for x
   x = 73,314,482.95/9,862.82
6. Step 6: Final answer
   x = 7,433.42