Finding the Fourth Proportional to 1,892.90, 2,612.54 and 1,147.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,892.90 : 2,612.54 = 1,147.50 : x
2. Step 2: Convert to fraction form
   1,892.90/2,612.54 = 1,147.50/x
3. Step 3: Cross multiply
   1,892.90x = 2,612.54 × 1,147.50
4. Step 4: Simplify right side
   1,892.90x = 2,997,889.65
5. Step 5: Solve for x
   x = 2,997,889.65/1,892.90
6. Step 6: Final answer
   x = 1,583.75