Finding the Fourth Proportional to 9,733.84, 13,432.56 and 5,542

Step by Step Solution

1. Step 1: Write the proportion equation
   9,733.84 : 13,432.56 = 5,542 : x
2. Step 2: Convert to fraction form
   9,733.84/13,432.56 = 5,542/x
3. Step 3: Cross multiply
   9,733.84x = 13,432.56 × 5,542
4. Step 4: Simplify right side
   9,733.84x = 74,443,247.52
5. Step 5: Solve for x
   x = 74,443,247.52/9,733.84
6. Step 6: Final answer
   x = 7,647.88