Finding the Fourth Proportional to 686,128.94, 946,547.42 and 414,109.88

Step by Step Solution

1. Step 1: Write the proportion equation
   686,128.94 : 946,547.42 = 414,109.88 : x
2. Step 2: Convert to fraction form
   686,128.94/946,547.42 = 414,109.88/x
3. Step 3: Cross multiply
   686,128.94x = 946,547.42 × 414,109.88
4. Step 4: Simplify right side
   686,128.94x = 391,974,638,510.51
5. Step 5: Solve for x
   x = 391,974,638,510.51/686,128.94
6. Step 6: Final answer
   x = 571,284.22