Finding the Fourth Proportional to 11,577.69, 15,977.51 and 7,098.86

Step by Step Solution

1. Step 1: Write the proportion equation
   11,577.69 : 15,977.51 = 7,098.86 : x
2. Step 2: Convert to fraction form
   11,577.69/15,977.51 = 7,098.86/x
3. Step 3: Cross multiply
   11,577.69x = 15,977.51 × 7,098.86
4. Step 4: Simplify right side
   11,577.69x = 113,422,077.79
5. Step 5: Solve for x
   x = 113,422,077.79/11,577.69
6. Step 6: Final answer
   x = 9,796.61