Finding the Fourth Proportional to 7,830.18, 11,736.78 and 3,667.60

Step by Step Solution

1. Step 1: Write the proportion equation
   7,830.18 : 11,736.78 = 3,667.60 : x
2. Step 2: Convert to fraction form
   7,830.18/11,736.78 = 3,667.60/x
3. Step 3: Cross multiply
   7,830.18x = 11,736.78 × 3,667.60
4. Step 4: Simplify right side
   7,830.18x = 43,045,814.33
5. Step 5: Solve for x
   x = 43,045,814.33/7,830.18
6. Step 6: Final answer
   x = 5,497.42