Finding the Fourth Proportional to 9,277.46, 12,802.63 and 5,298.49

Step by Step Solution

1. Step 1: Write the proportion equation
   9,277.46 : 12,802.63 = 5,298.49 : x
2. Step 2: Convert to fraction form
   9,277.46/12,802.63 = 5,298.49/x
3. Step 3: Cross multiply
   9,277.46x = 12,802.63 × 5,298.49
4. Step 4: Simplify right side
   9,277.46x = 67,834,607.03
5. Step 5: Solve for x
   x = 67,834,607.03/9,277.46
6. Step 6: Final answer
   x = 7,311.76