Finding the Fourth Proportional to 1,005.75, 1,510.31 and 929.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,005.75 : 1,510.31 = 929.98 : x
2. Step 2: Convert to fraction form
   1,005.75/1,510.31 = 929.98/x
3. Step 3: Cross multiply
   1,005.75x = 1,510.31 × 929.98
4. Step 4: Simplify right side
   1,005.75x = 1,404,562.31
5. Step 5: Solve for x
   x = 1,404,562.31/1,005.75
6. Step 6: Final answer
   x = 1,396.53