Finding the Fourth Proportional to 1,406.15, 1,941.14 and 1,002.64

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.15 : 1,941.14 = 1,002.64 : x
2. Step 2: Convert to fraction form
   1,406.15/1,941.14 = 1,002.64/x
3. Step 3: Cross multiply
   1,406.15x = 1,941.14 × 1,002.64
4. Step 4: Simplify right side
   1,406.15x = 1,946,264.61
5. Step 5: Solve for x
   x = 1,946,264.61/1,406.15
6. Step 6: Final answer
   x = 1,384.11