Finding the Fourth Proportional to 9,886.63, 13,648.49 and 5,694.07

Step by Step Solution

1. Step 1: Write the proportion equation
   9,886.63 : 13,648.49 = 5,694.07 : x
2. Step 2: Convert to fraction form
   9,886.63/13,648.49 = 5,694.07/x
3. Step 3: Cross multiply
   9,886.63x = 13,648.49 × 5,694.07
4. Step 4: Simplify right side
   9,886.63x = 77,715,457.45
5. Step 5: Solve for x
   x = 77,715,457.45/9,886.63
6. Step 6: Final answer
   x = 7,860.66