Finding the Fourth Proportional to 9,803.81, 13,527.73 and 5,824.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,803.81 : 13,527.73 = 5,824.82 : x
2. Step 2: Convert to fraction form
   9,803.81/13,527.73 = 5,824.82/x
3. Step 3: Cross multiply
   9,803.81x = 13,527.73 × 5,824.82
4. Step 4: Simplify right side
   9,803.81x = 78,796,592.26
5. Step 5: Solve for x
   x = 78,796,592.26/9,803.81
6. Step 6: Final answer
   x = 8,037.34