Finding the Fourth Proportional to 9,801.16, 14,682.59 and 7,830.88

Step by Step Solution

1. Step 1: Write the proportion equation
   9,801.16 : 14,682.59 = 7,830.88 : x
2. Step 2: Convert to fraction form
   9,801.16/14,682.59 = 7,830.88/x
3. Step 3: Cross multiply
   9,801.16x = 14,682.59 × 7,830.88
4. Step 4: Simplify right side
   9,801.16x = 114,977,600.38
5. Step 5: Solve for x
   x = 114,977,600.38/9,801.16
6. Step 6: Final answer
   x = 11,731.02