Finding the Fourth Proportional to 3,706.68, 5,538.28 and 3,577.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,706.68 : 5,538.28 = 3,577.50 : x
2. Step 2: Convert to fraction form
   3,706.68/5,538.28 = 3,577.50/x
3. Step 3: Cross multiply
   3,706.68x = 5,538.28 × 3,577.50
4. Step 4: Simplify right side
   3,706.68x = 19,813,196.70
5. Step 5: Solve for x
   x = 19,813,196.70/3,706.68
6. Step 6: Final answer
   x = 5,345.27