Finding the Fourth Proportional to 9,770.31, 13,488.03 and 7,642.08

Step by Step Solution

1. Step 1: Write the proportion equation
   9,770.31 : 13,488.03 = 7,642.08 : x
2. Step 2: Convert to fraction form
   9,770.31/13,488.03 = 7,642.08/x
3. Step 3: Cross multiply
   9,770.31x = 13,488.03 × 7,642.08
4. Step 4: Simplify right side
   9,770.31x = 103,076,604.30
5. Step 5: Solve for x
   x = 103,076,604.30/9,770.31
6. Step 6: Final answer
   x = 10,549.98