Finding the Fourth Proportional to 11,548.01, 15,944.78 and 7,077.86

Step by Step Solution

1. Step 1: Write the proportion equation
   11,548.01 : 15,944.78 = 7,077.86 : x
2. Step 2: Convert to fraction form
   11,548.01/15,944.78 = 7,077.86/x
3. Step 3: Cross multiply
   11,548.01x = 15,944.78 × 7,077.86
4. Step 4: Simplify right side
   11,548.01x = 112,854,885.18
5. Step 5: Solve for x
   x = 112,854,885.18/11,548.01
6. Step 6: Final answer
   x = 9,772.67