Finding the Fourth Proportional to 9,774.74, 13,488.80 and 5,793.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,774.74 : 13,488.80 = 5,793.50 : x
2. Step 2: Convert to fraction form
   9,774.74/13,488.80 = 5,793.50/x
3. Step 3: Cross multiply
   9,774.74x = 13,488.80 × 5,793.50
4. Step 4: Simplify right side
   9,774.74x = 78,147,266.39
5. Step 5: Solve for x
   x = 78,147,266.39/9,774.74
6. Step 6: Final answer
   x = 7,994.82