Finding the Fourth Proportional to 9,858.28, 13,602.96 and 5,665.72

Step by Step Solution

1. Step 1: Write the proportion equation
   9,858.28 : 13,602.96 = 5,665.72 : x
2. Step 2: Convert to fraction form
   9,858.28/13,602.96 = 5,665.72/x
3. Step 3: Cross multiply
   9,858.28x = 13,602.96 × 5,665.72
4. Step 4: Simplify right side
   9,858.28x = 77,070,562.53
5. Step 5: Solve for x
   x = 77,070,562.53/9,858.28
6. Step 6: Final answer
   x = 7,817.85