Finding the Fourth Proportional to 9,362.61, 12,914.64 and 5,583.24

Step by Step Solution

1. Step 1: Write the proportion equation
   9,362.61 : 12,914.64 = 5,583.24 : x
2. Step 2: Convert to fraction form
   9,362.61/12,914.64 = 5,583.24/x
3. Step 3: Cross multiply
   9,362.61x = 12,914.64 × 5,583.24
4. Step 4: Simplify right side
   9,362.61x = 72,105,534.63
5. Step 5: Solve for x
   x = 72,105,534.63/9,362.61
6. Step 6: Final answer
   x = 7,701.44