Finding the Fourth Proportional to 9,123.39, 12,592.65 and 5,945.40

Step by Step Solution

1. Step 1: Write the proportion equation
   9,123.39 : 12,592.65 = 5,945.40 : x
2. Step 2: Convert to fraction form
   9,123.39/12,592.65 = 5,945.40/x
3. Step 3: Cross multiply
   9,123.39x = 12,592.65 × 5,945.40
4. Step 4: Simplify right side
   9,123.39x = 74,868,341.31
5. Step 5: Solve for x
   x = 74,868,341.31/9,123.39
6. Step 6: Final answer
   x = 8,206.20