Finding the Fourth Proportional to 9,875.88, 13,628.72 and 5,684.12

Step by Step Solution

1. Step 1: Write the proportion equation
   9,875.88 : 13,628.72 = 5,684.12 : x
2. Step 2: Convert to fraction form
   9,875.88/13,628.72 = 5,684.12/x
3. Step 3: Cross multiply
   9,875.88x = 13,628.72 × 5,684.12
4. Step 4: Simplify right side
   9,875.88x = 77,467,279.93
5. Step 5: Solve for x
   x = 77,467,279.93/9,875.88
6. Step 6: Final answer
   x = 7,844.09