Finding the Fourth Proportional to 9,789.49, 13,503.35 and 5,807.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,789.49 : 13,503.35 = 5,807.78 : x
2. Step 2: Convert to fraction form
   9,789.49/13,503.35 = 5,807.78/x
3. Step 3: Cross multiply
   9,789.49x = 13,503.35 × 5,807.78
4. Step 4: Simplify right side
   9,789.49x = 78,424,505.30
5. Step 5: Solve for x
   x = 78,424,505.30/9,789.49
6. Step 6: Final answer
   x = 8,011.09