Finding the Fourth Proportional to 9,774.02, 13,488.90 and 5,796.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,774.02 : 13,488.90 = 5,796.02 : x
2. Step 2: Convert to fraction form
   9,774.02/13,488.90 = 5,796.02/x
3. Step 3: Cross multiply
   9,774.02x = 13,488.90 × 5,796.02
4. Step 4: Simplify right side
   9,774.02x = 78,181,934.18
5. Step 5: Solve for x
   x = 78,181,934.18/9,774.02
6. Step 6: Final answer
   x = 7,998.95