Finding the Fourth Proportional to 9,117.34, 12,582.88 and 5,582.90

Step by Step Solution

1. Step 1: Write the proportion equation
   9,117.34 : 12,582.88 = 5,582.90 : x
2. Step 2: Convert to fraction form
   9,117.34/12,582.88 = 5,582.90/x
3. Step 3: Cross multiply
   9,117.34x = 12,582.88 × 5,582.90
4. Step 4: Simplify right side
   9,117.34x = 70,248,960.75
5. Step 5: Solve for x
   x = 70,248,960.75/9,117.34
6. Step 6: Final answer
   x = 7,704.98