Finding the Fourth Proportional to 9,868.78, 13,618.52 and 5,838.22

Step by Step Solution

1. Step 1: Write the proportion equation
   9,868.78 : 13,618.52 = 5,838.22 : x
2. Step 2: Convert to fraction form
   9,868.78/13,618.52 = 5,838.22/x
3. Step 3: Cross multiply
   9,868.78x = 13,618.52 × 5,838.22
4. Step 4: Simplify right side
   9,868.78x = 79,507,925.56
5. Step 5: Solve for x
   x = 79,507,925.56/9,868.78
6. Step 6: Final answer
   x = 8,056.51