Finding the Fourth Proportional to 345,625, 476,962.50 and 186,649

Step by Step Solution

1. Step 1: Write the proportion equation
   345,625 : 476,962.50 = 186,649 : x
2. Step 2: Convert to fraction form
   345,625/476,962.50 = 186,649/x
3. Step 3: Cross multiply
   345,625x = 476,962.50 × 186,649
4. Step 4: Simplify right side
   345,625x = 89,024,573,662.50
5. Step 5: Solve for x
   x = 89,024,573,662.50/345,625
6. Step 6: Final answer
   x = 257,575.62