Finding the Fourth Proportional to 9,887.01, 13,645.61 and 5,638.08

Step by Step Solution

1. Step 1: Write the proportion equation
   9,887.01 : 13,645.61 = 5,638.08 : x
2. Step 2: Convert to fraction form
   9,887.01/13,645.61 = 5,638.08/x
3. Step 3: Cross multiply
   9,887.01x = 13,645.61 × 5,638.08
4. Step 4: Simplify right side
   9,887.01x = 76,935,012.64
5. Step 5: Solve for x
   x = 76,935,012.64/9,887.01
6. Step 6: Final answer
   x = 7,781.42