Finding the Fourth Proportional to 9,849.14, 13,590.20 and 5,870.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,849.14 : 13,590.20 = 5,870.42 : x
2. Step 2: Convert to fraction form
   9,849.14/13,590.20 = 5,870.42/x
3. Step 3: Cross multiply
   9,849.14x = 13,590.20 × 5,870.42
4. Step 4: Simplify right side
   9,849.14x = 79,780,084.58
5. Step 5: Solve for x
   x = 79,780,084.58/9,849.14
6. Step 6: Final answer
   x = 8,100.21