Finding the Fourth Proportional to 9,980.90, 13,773.17 and 5,729

Step by Step Solution

1. Step 1: Write the proportion equation
   9,980.90 : 13,773.17 = 5,729 : x
2. Step 2: Convert to fraction form
   9,980.90/13,773.17 = 5,729/x
3. Step 3: Cross multiply
   9,980.90x = 13,773.17 × 5,729
4. Step 4: Simplify right side
   9,980.90x = 78,906,462.29
5. Step 5: Solve for x
   x = 78,906,462.29/9,980.90
6. Step 6: Final answer
   x = 7,905.75