Finding the Fourth Proportional to 1,487.61, 2,053.01 and 824.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,487.61 : 2,053.01 = 824.52 : x
2. Step 2: Convert to fraction form
   1,487.61/2,053.01 = 824.52/x
3. Step 3: Cross multiply
   1,487.61x = 2,053.01 × 824.52
4. Step 4: Simplify right side
   1,487.61x = 1,692,747.81
5. Step 5: Solve for x
   x = 1,692,747.81/1,487.61
6. Step 6: Final answer
   x = 1,137.90