Finding the Fourth Proportional to 9,858.42, 14,795.82 and 5,180.04

Step by Step Solution

1. Step 1: Write the proportion equation
   9,858.42 : 14,795.82 = 5,180.04 : x
2. Step 2: Convert to fraction form
   9,858.42/14,795.82 = 5,180.04/x
3. Step 3: Cross multiply
   9,858.42x = 14,795.82 × 5,180.04
4. Step 4: Simplify right side
   9,858.42x = 76,642,939.43
5. Step 5: Solve for x
   x = 76,642,939.43/9,858.42
6. Step 6: Final answer
   x = 7,774.36