Finding the Fourth Proportional to 2,657.34, 3,667.19 and 1,538.62

Step by Step Solution

1. Step 1: Write the proportion equation
   2,657.34 : 3,667.19 = 1,538.62 : x
2. Step 2: Convert to fraction form
   2,657.34/3,667.19 = 1,538.62/x
3. Step 3: Cross multiply
   2,657.34x = 3,667.19 × 1,538.62
4. Step 4: Simplify right side
   2,657.34x = 5,642,395.02
5. Step 5: Solve for x
   x = 5,642,395.02/2,657.34
6. Step 6: Final answer
   x = 2,123.32