Finding the Fourth Proportional to 9,932.34, 13,705.83 and 5,740.86

Step by Step Solution

1. Step 1: Write the proportion equation
   9,932.34 : 13,705.83 = 5,740.86 : x
2. Step 2: Convert to fraction form
   9,932.34/13,705.83 = 5,740.86/x
3. Step 3: Cross multiply
   9,932.34x = 13,705.83 × 5,740.86
4. Step 4: Simplify right side
   9,932.34x = 78,683,251.21
5. Step 5: Solve for x
   x = 78,683,251.21/9,932.34
6. Step 6: Final answer
   x = 7,921.92