Finding the Fourth Proportional to 1,592.15, 2,374.67 and 1,564.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,592.15 : 2,374.67 = 1,564.47 : x
2. Step 2: Convert to fraction form
   1,592.15/2,374.67 = 1,564.47/x
3. Step 3: Cross multiply
   1,592.15x = 2,374.67 × 1,564.47
4. Step 4: Simplify right side
   1,592.15x = 3,715,092.15
5. Step 5: Solve for x
   x = 3,715,092.15/1,592.15
6. Step 6: Final answer
   x = 2,333.39