Finding the Fourth Proportional to 9,842.81, 13,583.00 and 5,366.57

Step by Step Solution

1. Step 1: Write the proportion equation
   9,842.81 : 13,583.00 = 5,366.57 : x
2. Step 2: Convert to fraction form
   9,842.81/13,583.00 = 5,366.57/x
3. Step 3: Cross multiply
   9,842.81x = 13,583.00 × 5,366.57
4. Step 4: Simplify right side
   9,842.81x = 72,894,065.81
5. Step 5: Solve for x
   x = 72,894,065.81/9,842.81
6. Step 6: Final answer
   x = 7,405.82