Finding the Fourth Proportional to 9,618.53, 13,267.57 and 5,838.01

Step by Step Solution

1. Step 1: Write the proportion equation
   9,618.53 : 13,267.57 = 5,838.01 : x
2. Step 2: Convert to fraction form
   9,618.53/13,267.57 = 5,838.01/x
3. Step 3: Cross multiply
   9,618.53x = 13,267.57 × 5,838.01
4. Step 4: Simplify right side
   9,618.53x = 77,456,199.93
5. Step 5: Solve for x
   x = 77,456,199.93/9,618.53
6. Step 6: Final answer
   x = 8,052.81