Finding the Fourth Proportional to 1,429.60, 1,974.00 and 1,148.93

Step by Step Solution

1. Step 1: Write the proportion equation
   1,429.60 : 1,974.00 = 1,148.93 : x
2. Step 2: Convert to fraction form
   1,429.60/1,974.00 = 1,148.93/x
3. Step 3: Cross multiply
   1,429.60x = 1,974.00 × 1,148.93
4. Step 4: Simplify right side
   1,429.60x = 2,267,991.07
5. Step 5: Solve for x
   x = 2,267,991.07/1,429.60
6. Step 6: Final answer
   x = 1,586.45