Finding the Fourth Proportional to 9,116.84, 12,582.18 and 5,582.40

Step by Step Solution

1. Step 1: Write the proportion equation
   9,116.84 : 12,582.18 = 5,582.40 : x
2. Step 2: Convert to fraction form
   9,116.84/12,582.18 = 5,582.40/x
3. Step 3: Cross multiply
   9,116.84x = 12,582.18 × 5,582.40
4. Step 4: Simplify right side
   9,116.84x = 70,238,761.63
5. Step 5: Solve for x
   x = 70,238,761.63/9,116.84
6. Step 6: Final answer
   x = 7,704.29