Finding the Fourth Proportional to 1,540.88, 2,123.32 and 1,307.60

Step by Step Solution

1. Step 1: Write the proportion equation
   1,540.88 : 2,123.32 = 1,307.60 : x
2. Step 2: Convert to fraction form
   1,540.88/2,123.32 = 1,307.60/x
3. Step 3: Cross multiply
   1,540.88x = 2,123.32 × 1,307.60
4. Step 4: Simplify right side
   1,540.88x = 2,776,453.23
5. Step 5: Solve for x
   x = 2,776,453.23/1,540.88
6. Step 6: Final answer
   x = 1,801.86