Finding the Fourth Proportional to 9,774.20, 13,494.52 and 7,531.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,774.20 : 13,494.52 = 7,531.82 : x
2. Step 2: Convert to fraction form
   9,774.20/13,494.52 = 7,531.82/x
3. Step 3: Cross multiply
   9,774.20x = 13,494.52 × 7,531.82
4. Step 4: Simplify right side
   9,774.20x = 101,638,295.63
5. Step 5: Solve for x
   x = 101,638,295.63/9,774.20
6. Step 6: Final answer
   x = 10,398.63