Finding the Fourth Proportional to 1,830.50, 2,526.09 and 1,002.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,830.50 : 2,526.09 = 1,002.50 : x
2. Step 2: Convert to fraction form
   1,830.50/2,526.09 = 1,002.50/x
3. Step 3: Cross multiply
   1,830.50x = 2,526.09 × 1,002.50
4. Step 4: Simplify right side
   1,830.50x = 2,532,405.23
5. Step 5: Solve for x
   x = 2,532,405.23/1,830.50
6. Step 6: Final answer
   x = 1,383.45