Finding the Fourth Proportional to 386,097.84, 578,738.41 and 142,782.56

Step by Step Solution

1. Step 1: Write the proportion equation
   386,097.84 : 578,738.41 = 142,782.56 : x
2. Step 2: Convert to fraction form
   386,097.84/578,738.41 = 142,782.56/x
3. Step 3: Cross multiply
   386,097.84x = 578,738.41 × 142,782.56
4. Step 4: Simplify right side
   386,097.84x = 82,633,748,499.48
5. Step 5: Solve for x
   x = 82,633,748,499.48/386,097.84
6. Step 6: Final answer
   x = 214,022.82