Finding the Fourth Proportional to 9,294.42, 12,826.17 and 5,758.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,294.42 : 12,826.17 = 5,758.50 : x
2. Step 2: Convert to fraction form
   9,294.42/12,826.17 = 5,758.50/x
3. Step 3: Cross multiply
   9,294.42x = 12,826.17 × 5,758.50
4. Step 4: Simplify right side
   9,294.42x = 73,859,499.95
5. Step 5: Solve for x
   x = 73,859,499.95/9,294.42
6. Step 6: Final answer
   x = 7,946.65