Finding the Fourth Proportional to 1,538.64, 2,307.49 and 1,011.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.64 : 2,307.49 = 1,011.52 : x
2. Step 2: Convert to fraction form
   1,538.64/2,307.49 = 1,011.52/x
3. Step 3: Cross multiply
   1,538.64x = 2,307.49 × 1,011.52
4. Step 4: Simplify right side
   1,538.64x = 2,334,076.82
5. Step 5: Solve for x
   x = 2,334,076.82/1,538.64
6. Step 6: Final answer
   x = 1,516.98