Finding the Fourth Proportional to 7,842.88, 10,823.70 and 5,185.72

Step by Step Solution

1. Step 1: Write the proportion equation
   7,842.88 : 10,823.70 = 5,185.72 : x
2. Step 2: Convert to fraction form
   7,842.88/10,823.70 = 5,185.72/x
3. Step 3: Cross multiply
   7,842.88x = 10,823.70 × 5,185.72
4. Step 4: Simplify right side
   7,842.88x = 56,128,677.56
5. Step 5: Solve for x
   x = 56,128,677.56/7,842.88
6. Step 6: Final answer
   x = 7,156.64