Finding the Fourth Proportional to 9,634.59, 13,294.67 and 5,442.84

Step by Step Solution

1. Step 1: Write the proportion equation
   9,634.59 : 13,294.67 = 5,442.84 : x
2. Step 2: Convert to fraction form
   9,634.59/13,294.67 = 5,442.84/x
3. Step 3: Cross multiply
   9,634.59x = 13,294.67 × 5,442.84
4. Step 4: Simplify right side
   9,634.59x = 72,360,734.45
5. Step 5: Solve for x
   x = 72,360,734.45/9,634.59
6. Step 6: Final answer
   x = 7,510.52