Finding the Fourth Proportional to 1,538.86, 2,307.93 and 758.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.86 : 2,307.93 = 758.06 : x
2. Step 2: Convert to fraction form
   1,538.86/2,307.93 = 758.06/x
3. Step 3: Cross multiply
   1,538.86x = 2,307.93 × 758.06
4. Step 4: Simplify right side
   1,538.86x = 1,749,549.42
5. Step 5: Solve for x
   x = 1,749,549.42/1,538.86
6. Step 6: Final answer
   x = 1,136.91