Finding the Fourth Proportional to 9,926.34, 13,697.55 and 5,734.86

Step by Step Solution

1. Step 1: Write the proportion equation
   9,926.34 : 13,697.55 = 5,734.86 : x
2. Step 2: Convert to fraction form
   9,926.34/13,697.55 = 5,734.86/x
3. Step 3: Cross multiply
   9,926.34x = 13,697.55 × 5,734.86
4. Step 4: Simplify right side
   9,926.34x = 78,553,531.59
5. Step 5: Solve for x
   x = 78,553,531.59/9,926.34
6. Step 6: Final answer
   x = 7,913.65