Finding the Fourth Proportional to 9,852.54, 13,599.27 and 5,662.14

Step by Step Solution

1. Step 1: Write the proportion equation
   9,852.54 : 13,599.27 = 5,662.14 : x
2. Step 2: Convert to fraction form
   9,852.54/13,599.27 = 5,662.14/x
3. Step 3: Cross multiply
   9,852.54x = 13,599.27 × 5,662.14
4. Step 4: Simplify right side
   9,852.54x = 77,000,970.64
5. Step 5: Solve for x
   x = 77,000,970.64/9,852.54
6. Step 6: Final answer
   x = 7,815.34