Finding the Fourth Proportional to 10,623, 15,934.59 and 3,697.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,623 : 15,934.59 = 3,697.50 : x
2. Step 2: Convert to fraction form
   10,623/15,934.59 = 3,697.50/x
3. Step 3: Cross multiply
   10,623x = 15,934.59 × 3,697.50
4. Step 4: Simplify right side
   10,623x = 58,918,146.53
5. Step 5: Solve for x
   x = 58,918,146.53/10,623
6. Step 6: Final answer
   x = 5,546.28