Finding the Fourth Proportional to 9,452.57, 13,046.00 and 5,677.83

Step by Step Solution

1. Step 1: Write the proportion equation
   9,452.57 : 13,046.00 = 5,677.83 : x
2. Step 2: Convert to fraction form
   9,452.57/13,046.00 = 5,677.83/x
3. Step 3: Cross multiply
   9,452.57x = 13,046.00 × 5,677.83
4. Step 4: Simplify right side
   9,452.57x = 74,072,941.79
5. Step 5: Solve for x
   x = 74,072,941.79/9,452.57
6. Step 6: Final answer
   x = 7,836.28