Finding the Fourth Proportional to 77,146.29, 106,404.71 and 54,461.63

Step by Step Solution

1. Step 1: Write the proportion equation
   77,146.29 : 106,404.71 = 54,461.63 : x
2. Step 2: Convert to fraction form
   77,146.29/106,404.71 = 54,461.63/x
3. Step 3: Cross multiply
   77,146.29x = 106,404.71 × 54,461.63
4. Step 4: Simplify right side
   77,146.29x = 5,794,973,939.98
5. Step 5: Solve for x
   x = 5,794,973,939.98/77,146.29
6. Step 6: Final answer
   x = 75,116.69