Finding the Fourth Proportional to 12,977.78, 19,471.72 and 5,188.82

Step by Step Solution

1. Step 1: Write the proportion equation
   12,977.78 : 19,471.72 = 5,188.82 : x
2. Step 2: Convert to fraction form
   12,977.78/19,471.72 = 5,188.82/x
3. Step 3: Cross multiply
   12,977.78x = 19,471.72 × 5,188.82
4. Step 4: Simplify right side
   12,977.78x = 101,035,250.17
5. Step 5: Solve for x
   x = 101,035,250.17/12,977.78
6. Step 6: Final answer
   x = 7,785.25