Finding the Fourth Proportional to 9,887.82, 13,648.23 and 5,698.86

Step by Step Solution

1. Step 1: Write the proportion equation
   9,887.82 : 13,648.23 = 5,698.86 : x
2. Step 2: Convert to fraction form
   9,887.82/13,648.23 = 5,698.86/x
3. Step 3: Cross multiply
   9,887.82x = 13,648.23 × 5,698.86
4. Step 4: Simplify right side
   9,887.82x = 77,779,352.02
5. Step 5: Solve for x
   x = 77,779,352.02/9,887.82
6. Step 6: Final answer
   x = 7,866.18