Finding the Fourth Proportional to 7,105.60, 9,784.83 and 4,865.14

Step by Step Solution

1. Step 1: Write the proportion equation
   7,105.60 : 9,784.83 = 4,865.14 : x
2. Step 2: Convert to fraction form
   7,105.60/9,784.83 = 4,865.14/x
3. Step 3: Cross multiply
   7,105.60x = 9,784.83 × 4,865.14
4. Step 4: Simplify right side
   7,105.60x = 47,604,567.83
5. Step 5: Solve for x
   x = 47,604,567.83/7,105.60
6. Step 6: Final answer
   x = 6,699.58