Finding the Fourth Proportional to 1,401.90, 2,100.16 and 783.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,401.90 : 2,100.16 = 783.74 : x
2. Step 2: Convert to fraction form
   1,401.90/2,100.16 = 783.74/x
3. Step 3: Cross multiply
   1,401.90x = 2,100.16 × 783.74
4. Step 4: Simplify right side
   1,401.90x = 1,645,970.61
5. Step 5: Solve for x
   x = 1,645,970.61/1,401.90
6. Step 6: Final answer
   x = 1,174.10