Finding the Fourth Proportional to 686,097, 946,813.86 and 417,825

Step by Step Solution

1. Step 1: Write the proportion equation
   686,097 : 946,813.86 = 417,825 : x
2. Step 2: Convert to fraction form
   686,097/946,813.86 = 417,825/x
3. Step 3: Cross multiply
   686,097x = 946,813.86 × 417,825
4. Step 4: Simplify right side
   686,097x = 395,602,501,054.50
5. Step 5: Solve for x
   x = 395,602,501,054.50/686,097
6. Step 6: Final answer
   x = 576,598.50