Finding the Fourth Proportional to 9,992.90, 13,785.88 and 5,742.98

Step by Step Solution

1. Step 1: Write the proportion equation
   9,992.90 : 13,785.88 = 5,742.98 : x
2. Step 2: Convert to fraction form
   9,992.90/13,785.88 = 5,742.98/x
3. Step 3: Cross multiply
   9,992.90x = 13,785.88 × 5,742.98
4. Step 4: Simplify right side
   9,992.90x = 79,172,089.85
5. Step 5: Solve for x
   x = 79,172,089.85/9,992.90
6. Step 6: Final answer
   x = 7,922.83