Finding the Fourth Proportional to 9,883.31, 13,638.89 and 5,407.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,883.31 : 13,638.89 = 5,407.10 : x
2. Step 2: Convert to fraction form
   9,883.31/13,638.89 = 5,407.10/x
3. Step 3: Cross multiply
   9,883.31x = 13,638.89 × 5,407.10
4. Step 4: Simplify right side
   9,883.31x = 73,746,842.12
5. Step 5: Solve for x
   x = 73,746,842.12/9,883.31
6. Step 6: Final answer
   x = 7,461.76