Finding the Fourth Proportional to 9,776.98, 13,490.82 and 5,470.05

Step by Step Solution

1. Step 1: Write the proportion equation
   9,776.98 : 13,490.82 = 5,470.05 : x
2. Step 2: Convert to fraction form
   9,776.98/13,490.82 = 5,470.05/x
3. Step 3: Cross multiply
   9,776.98x = 13,490.82 × 5,470.05
4. Step 4: Simplify right side
   9,776.98x = 73,795,396.70
5. Step 5: Solve for x
   x = 73,795,396.70/9,776.98
6. Step 6: Final answer
   x = 7,547.87