Finding the Fourth Proportional to 1,406.50, 1,938.80 and 1,157.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.50 : 1,938.80 = 1,157.38 : x
2. Step 2: Convert to fraction form
   1,406.50/1,938.80 = 1,157.38/x
3. Step 3: Cross multiply
   1,406.50x = 1,938.80 × 1,157.38
4. Step 4: Simplify right side
   1,406.50x = 2,243,926.39
5. Step 5: Solve for x
   x = 2,243,926.39/1,406.50
6. Step 6: Final answer
   x = 1,595.40